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Les diagrammes suivants illustrent la mAthode. 32X t 2 3 1 8 3 ! 4 S 6 t > hit % t PB AS£ . :. » o/fi SEC Fwrmer c P0B COIPIrlTS STStIM PEACTICAL AEITHMETIC, V9ETra USE OP SCHOOLS IN BRITISH AMERICA^ TO WnOH ASK AB9K1I A SET OF BOOK-KEEPING BY SINGLE ENTRY, AND A PRACTICAL ILLUSTRATION OF MENTAL ARITHMETIC, ■ ' .^LJ.f^«^ E^^AlioE,;,MBNl^^ . ;iT,' The mote k3^id tdtMhtiMwut tf i^^ft, td iHe^dns^knahnm of the country, and ij the present improvid Hate d/B^mJate, SECOND EDITION, CORRECTED AND IMPROVED. By G. & j; GOUINLOtfK, Formerly BritislC V/)(w:Wit ^f )oq« <>(fiEp«r«etim cnf es^^ive iira«ti«« ; Aothora of a Key4o tlufcMitOmetic^« h*«m •( Genetftl Geogtitbf, *e. « <■' » 4 •. J U » • ->!;i » ^ TORONTO: PUBLTSHED by 800BIB «c BALFOUR, KIMO BTUBET EAST* raeE-tm^iWiLWHiAN^ IHRfii PENCE. •1 ^: M3TgY8 ITaJ'IIOl jtaVI to .aiT>riuiTiJrA 'jrvrTo/iai '.'T't i' •■•. .;■ Jti . ,, nsrruur >!i xjooir cm. /. >. '.: • trtij?'^ "^•/ * Entered ftceordlng to Act of the Provindial Legislature, in the Ytiat *One Thousand flight Hundred and Forty-seven, by G. & J. GouiNLocK, in^t^eP|^cc|,^Qf^^the Rcjgistrar of the JPnQvince of Canada. . Xi: ;00:^s? --ioAinh I .■■ rf 4 . ' r f ' \ 3W3A mli^ t£ iiia^vm^ im»t%m ^V.^ .*-ji fii'V o»l« .r>' ^.«'. A..> live node of tuition, embracing elfo the outline* of eo eliMMhitir^ problemt on maps and the giob<*f« JtftlM i^nlfeiiif.wn^^|iM berfr yfofe. been a de»ideratum in all our geograpbie«, iii>out eight paget I'pifitiih AmeHcii, ^nd iif^pi^irA altogetlier a vei^ ci-^diiabte pub- Bation, both to the authors knd to the publifhern. --•iKa;afiri^«r,*!'^. .^^^'jThe pliin of thU very tisieful wbrlc if a4i)rftjuf^hfy «uitable tci tlio |>lirpn«^ (fir wfbiq^ it 19 deftgned, sfnd t||e exequ^on jipMar* Higbly. •a^factor;^', / We recoinrhend it to tlie atteat^ipn of all engaged ia tIBe managenrent ofschooU, in the full' expectation to see it become one of the class books of Cannda/'—iVta^ara CAfonrc/e. '' *' ^ts plan is simple and well arranged^ and the woi'k is very epjm- fiirehensive. As a general ret«>rence book it is valuable, as {t^ive<| tl^ chief statistical features of every^countiy on i^e glube.^'— Toron/o - 7r. .t..„^ { ,,,, •rittM >x' 'f-A good compilation, with the addition of much Canadian mattef*. The Press throughout the province speaks in very laudatory tenia iAf»ri^in^,this u^ful publication, We wish it an extensive ,saJe, ^j^ph, indeed, its intrinsic merit, deserves. — IfamiUon JoiirnaL ' V A compilation very well adapted for the use of our provincial sehools. A few pages devoted to British America have beey judi- ciously intrtkluced into it."— JBr»/i«A Canadian. ' Extract] of a Lttfer from the Rev. R. H. Thornton^ Superinten- dent of Education for the I'ownship of Whitby, to Mr. Scobie : ■ " I have carefully examined G. & J. Gouinlock^s Geography, lately published ,^y you, and am happy to $nd it a. Valuable com<^ pendium of geography, both because of the information it oontaioa. and of its adaptation to the common -schools of the province. The aiiran^ement of the work is good, and such as, with the exercised. Will kimtfst of necessity lead a teacher, of even small ek^terience, to iddjit a tolerably correct method of teaching its contents. *^The mode adopted by the compilers, to give ,a9si||tanee towiirdi a correct pronunciation of the proper names, is simple, and will be hikhly valued hf many whose opportubiiies of acquiring afecu^acy ifrjih^fr iJt-oriiihciation have bieen limited. ' •" ' • 'T^ \ ** The value q^ j|he. work, aa a tex^ bopk for fch|(^jla,;if^,I C|0)^^ eeive, greatly enhanced by the Outline of Scriptuie Geography. ^Miediing of the kind is essehttal whetever the SfiHptUrofl kre ain^)>ibyed as a i^^ittg book; and this Work feuppHes what I hat* MeiEtrd^nany wi»h to obtain, as ib kid to-iheii'geiMnil peru^&l of the tiered volume."— Septiinibet24th/I842i. i>, 38313 '^•hii.% ! « Mmm •/ OiiftiliiiV^y^igJi^iy, XMN^ ^ OJI •choob, and «• mk« (kir opp6rfintity tfT wco t ii i w wH ng it i^iiIm .i»« ip an wno dCftire to inrtke the «rciencp <>( geofirnphy an 6bi^( continent, are very ample, ans, Mhd (hls^e*dtf> kV«*WleH>^tf' ^W<^h biiV'pdtoy iKeir'alWil'iibii and e'Mg^ lTieii'V)iii»*' atidh 18 no|, ^.;pjienle^, ^p.^f (»i^^^^^ ^ mppmm ^^I^Oflfe resting shape. We ohali keep it by us asa ui^^ful bqoH uf referenQa?'' the ie design of tM work is ei^ct^lJ^i^t, ai|^ .moftj^jy^^M 0^ been (Carnc'4 ©I' hy.ihe aumorg, who deserv * ' i)»bvy er'# &mA« 'pm\mV'-^ Woodifbek ieserve, the tnant o If W%>M|?li,iiM|RK pl^aswff Ml] ffratiag I lM»t M««8i^ jOi ^.^m.^^^^ Wiili<*lfeM^^#W&.*W i^MW» |RiitMi|efi|alf9rfn)»t|ie4 If^ fim gratitude of tfie CanaSfan i(mI%, f«r sf^h Ap «iM«ne«i:!mfli^ .4i- IMW» ^ 0d m; anil' lf)|cJ«^Ttbf refill ire (3 "to jrbranfcjl'of jn ♦ii'Mtsfifi*] refe Ipo ]Mibltsli«r, Mr. Seobi« of Toronto, whieh for ffk Oftiinpnl ilMMN 00 origlnomy of doaif Mf borofoal|«ni|^ *^ kfn wbieh tbo mnthora aoom to bovip oiWo i f o4 '\*^ f otinerly, oifr^ follow 'autgceia wora Wont to 4[Hni4%iMi wlorlia'of ^It kind,: either be«$iiUM thoy woro tdo toiikill ivdopteil Id 'tM of th^ Mottof Counriy, or tbot of tke oifffM^irll^ Ik^; but in'ibo work b«fi>r« Ua aiiteh tt happy UiifttA'dT bbtK'$ ^iM by tfto diithdrii a»* ko Hemitid fo^ ft m b^tft it«od^Mir'iWie.ifc ffl I wiin ii\ Himilar pumicaiioitg J \\k materials are well clioseo and judiciously, arranpf'd.-. I conndrr it- a wotk of miici>' pieiit, and particularly well adapted to tlio iriotruction of pupils denigned for Gifliil9if.»'-4fflm/>il4^^ P'V> \ (O^ *' From the numher, vau«|^);aildjfeliai?liik) of tlie sums, as well at the much needed IntToductiun of the different kinds of cuirent |^at,i^))^^)itt)fdf^hjiyj? V'^l|(ercrd,a sigjial wbentfii ufW|n,^N^ qommmi^ •tt* JBf Ri/t jnft W«"f^^^»?"» «»»d ^;>fH»urH«eim.ni ,,qf -|^i^ch«.rs, «w[ pupils tnroughnut the province."— TAo*. Brown. .\ *• -j. *..\". 4«»st\ liuV A^»»'*awl'Mj flxi^n»iPAiwn'.of ^^^ ;J.,GpuinW«>ii^«lW»fc» ^jhay(p th9 ^•«t4KfHC(UvP .<»f, spying tb«l it.has,. in ,n»J v)p>»^ffi d«^% «Wf^9U,»«4 w|th,|^hility and »M«'ce#^, ; T^e;d/«fi«liAion«iBni| r^l«s,)i,fi^ ft)?ple» per^pi^Mous, ,ar4 .pifiiiciv»»«i a^^J itrtt>\M»J':-i'» J— ' hiu: .«»liilTlJiT f'vJj Jirii /'fi^i />■;!•,• jifi.-Mii iJiK.ffniJ <^t v .( Vlt' O/ #H''Jifi(fc|iMp» qUfst^^ ^^^etif^ila tbf.v«f/F4?' .Wdyy^to, d|^^^ wiaesolve wUbottltheaidofamiMter. ,i« ,. v- .^ ^^j,^^5j .'FfWEFA-e'EP yjM preientlngf a leeoncl oditton ot this work to the public, we (itnbraQ9.th,e oppor^Mnity of cj^prossinir pur giMtlUlienM.oPHlle irfry favprdhle reception it hpis mqt.with, and of repeatihg^oHr «imary object in compilin^r it, viz., 'tofaupjlifyltiu fuwHutuob'ti itish ^rnerica. with A good, text-book for BchoolB^oOmflrimiiV #lXull co.urse of arithmotrcal instruction! adapted to the tnipi^ved node of tcachinjif, . to real business, tiio f]tlfaetit,ataM of oeoi^ tterce, and the circumstances of this country, u. ;7-U 'Uinu^^* *,.^ Some works of this kind are defective IhVWAUbj'iirkttti^^^ tile art of teachir|r • gome are too puerll^'lind' trtffini^' ToVVH^ use of respectable schools ; and,p^?r8 are too larnre and expen- •ive, from the quantity of demonsirativo and theoretical matter •Contained in them. Of the last referred to^-th^^^ProfssMiri Ir John Lcsslie, Thomson, and Murray ,(ititffldfti'tfte*f(¥it'<)l^|i^ )d of these works all teachtrst espedlslly «lb< yoj^j^ lelHict .in«z|^ rienoedrwould do well to possessa copy fbr th6irWh'i]flrt¥lfiei^tf€lril^ 4heic value and. price, we think tbt^arei'Aot the besi aid^t^ ler practical school purposes, but impede rather tharf facitRilj^ fiAe progress of pupilif ikv nfenbral.' tUmaVks anid '^iplHnatftttaii Ini the Uaoher viva wee make things iHteili(^ib a)td>at / ^ Great care has been taken to have this treatise free frpm,tho||4^ 'isadvantqges ; to have the definitions — -" -^-*-'-'^»--»- -^-i*-" ^ne, and intelligible ; and the exercises md in progressive grad^ti76^:HeinCeth< J step- from what ia easy to^hat ja niore*diflic|ift,'jpi'itrioiit'^fiil4 thing th^t has % tendency t6 i^erj)lexb^ dficborai^^ the^^ {heir progress. Sufficient and suitable mat^ria^bbvi^ev^li'ire i!^ven to etcite the pupils to exert their in|rerin^t^, and to exer- cuie their reasoning fabulties, ih^brdir to coni^reherid tl^^ fiieaningj reason j and use of tl^e vai'iutis' niWi. 't!ii% BX^kH^ gjntained in the appendHr,'it?dbp'e'ri'dently cf thq'/l^dV 'aMHf Wprk, give; this book a superiority in vafde iltid dtflity fdi'Hfiif ^try. over British or Iriah Arithmetics. -^^^ wJm^ l^ronto, JaiiiiBi7,,1847. 1h! V :% AtiliMMliMfl TabiM .... Ddbiitionf, fto. HMMratHM Mid NoUtion flimpto AdditkNi Simple Sotenietion •iMpte MaltijriiMtiMi .... Simple DiTition Mifwelleneooe Exereiiei . QoMiiooi finr Euminatioo CONTENTS. VAET X I. •..'••• ••^•» ^.••••' ?»••*•. «••••• 4 11 11 18 IS IT If d4 9e . »'lr rAET IL ■ <••**•• ».4. 9« 9f '^ •.•.'•'4*'l "«'.«; ■••»*k» tilt #1 tfta Compoand AddUien Compeoqd SuMrtclion CompomidJialtiBlicvlMiii CompeqpdDiviiiion ...... MiveellMieqQe Ewmitet . ^Ut pi ?ii|!!ee|ii« orlnYoioee: «MHMieiiei • ii«.««» , «.i..» CMUPQMQfl, R«|ei of WeigbU aBd. MeMpree Ifitefl^peQua ExareiMi ..v.m> Qpp(U,iopi for ^^apuABtioii : .L.^t** •^••«* . i^*M '* FAIT III. nunpie rrponrilOIl j ,,; .v.»f:i« u,rtfr^ ; •■.r•••^••v!)'>'2J Via^ribiit^ye rropprt^ V*!^*?"- f"*" ■ r^ /ommerc^a] AllQWimf ea op Crooids ,, ' ^,.^,..^. ..h..,, , ;74 ^ple.lQtereal , , ,„.^. .^,^,^.. , f^,,*^^,,:.^**.,^ . ...^....,. ^^ Pppmimon, Bi^Keiiff!^ l^iid Inanrance ; t^•><<-n . i—^^'^ni; ^^ Profit and Loaa Miaeellaneoua Ezefciaea Queationa for ExamipaUop 90 ••*•.• •*...• •••«.• «fv ..I A • •• ••• • t • >»• •*• • ••' • ••/ 4 11 11 18 IS IT 19 d4 Al »»• . • "1:. .}n «4 (0 83 88 .1^ 90 :9a 96 coirnniTs* a Taln.^vWoli./DSblia,lL'''^ IS RsdiMtion of Vulf ir FrMtiont Addilion of Vnlf sr Fraetiofii SabCrMtion of Vulror FnetioiKi...../ IMli^imtion of Valf or Fraolioni MTifion of Vulfor Fractkmi Fk^^portion of Vulgar Fnieliono PMiniftl Fraetiont, Dofifiitiona, 4m. Action of Decimtb BvbtrMtioQ of Decimtlf Moltiplioation of Deciinalt D^iMon of Dccimtls KMoetion of Deeimaki dlreiilailnf Deoimala •••^•« •••••• 9» 105 100 107 108 108 100 111 111 119 119 119 116 ■T' < t' MiaeeNanaous Exereiaea io Vulgar aad Daeimal Fraetiont 191 QiieatioBB for Examioatioii- ...'... 194 PABT T. Britwh Ezehange of Moniea — ^with HoITandt Crennaoj, Fratieoi Spam, Foiiogal, Italy^ Denmar^ NbrWiy ' and Sweden, Ruatia, Proaala and Fbland, Weifi' Indiea, United Statei; Canada, Eaat Indiei, and -Canton in China ....b ....;• i^^«^tion» Medial, and AUemate ;,r«^. •..;..»; iQnrolQtion ...... ...*«•• ,. •.f.**, , .•*^fm:»-n\^('m.4*i^Ui(v SvoIqUon — Square Root, and ita uaaa « . . . ^ ..* f*f Evolution — Cube Root, and ita ttWoa ...... ...^.,» Poaitfbn.Sinprle and Double ...... Fibgf«i8ioh, Arithm^ieat and GisOmetHoat Duodecimal Multiplication ....... - ' ...... Exeroiaea in Artific^ra* Meaauring / Ui... Tonnage of Sliipa '•... .• 196 IdO 138 138 143 14.6 149 153 156 157 Sl^ijn^litatioii. ...... .^,4 I, jy^;}.^.^- ;,,; iTjttK*** <..',-; v^*!* ••!(>'('*!•*•(> 1* *i • Iw iaeelianeooa Queatibna .....%; r^u'ir*-- *'^'^ Queationa for Eiaminalipn ...... -^«>*» , • ' , ^ »» Noi 1. BoolE^k^epi^g bj Single Entry ::..':: ^^' KttMI. IHbhtai AritfiihMie H6. III. Federal Moni^jr, ict. Kdl^, Fnrina of Recdpta, Btlla, dte. 't.;'.V.W '' "u |', y I T i\ t- '' T -f A R I T H M E T IP A li .f!C!..;.\te.:A;i:f:.i.i.iV;i'i'''iSI fl?0n8 of Thousands... • • • • »•« «»«»•••••• , .5-ri !■■■ , , i w,. ■■; . J^..?^:ViU.. a .'64,3^1 llandreds of Thousands .i>.'V..Vi:]..Vi.vj * 654,321 Millions ., ....u-:vj;w.dt:-;l.iv;' '7,654,32'i (Ccfns of MUlions ......;'.. ^V,-. I. :* 87,654,321 fJundreds of Millions ..........v; 98T,<'54i89l Thousands of Millions 1,316,038,426 jr^ns.of ThottsHuds ofiMilHona ..-..«j..v.ii.U.'; 27,6(>8,607,08i) «»ndreds of Thousands of Millions;;, ;..;;...•» 36t),750,900v504 Billions 4,516^28,471,951 The i^pun^fis expressed numbers 4>yiDeans^qf the'leven following,-9lipim l^l|ers of tjiealptiabetji. r <:vr?- Nuntbers, L! ; V.v X*- K : >'C; f D. M. JN^'T Value, . 1 5. ..ID. 50. 100.' 60O. ' 1000[. 'Jiiid by repeating* and conibinihiir ih^^e, dnj^df the intdrinec^'ate f»r liigher niHnbers were denoted us follows :— ^ * *"'','''*'■ ^.'|»- '^•^ Numbers, II. III. iii^, XX. cc. , fccdrpli!;"^ ) Value, 2. 3. 4. 20^ 260: ^00, .^000. , « ^Iso, annexing a let^r, c^rleUerfi, of alower value (oomepfi hj^her, denotes their sum : — ;iir»r r^;-[ As, VI. VIII. XII. XV. XVII. LXX. H^G^rX rrValue, 6. 8. 12. 15. 17. = 70.^ GOaj* T Afid if ft letter of a lower value be prefixed to one df ft^tiijjl&erf It aenotes their difference:— :i ,. ;. . V «>. • u ;. « i. ^■- As, -iv. IX. XIX. ^'^}'"''^Ytr "m^'^' Value, 4. 9. 19. 40. 90. 400. The character for 500 iil 19, oi* und'efan abbreviated form D; «l8:value is doubled, or b^coipec IQOO, byprefixinjEia C to it,^At li^ CIo ; 5000 is denoted by Iqo, and lj(^O0O by CGfoQ ; 91)4 the value becomes increased in a 4«p^ple'. pnuportipn, ;by the auocessive addition of pair^pf 0,pn eaph flUJde.Qf the lifie (';itbilf jg(),000 in denoted bj CCC|ooo J l,000,aftgi>y CCPCl39a3f Kif Th( M oj »•. 5 6 7 ~8" _9 10 11 12 5 11 :.• 64,391 * 654,321 7,654,32'i ?7,6ft4,32i ^7,<'54i8ai 16;038,426 >8,507,080 90,900,504 28,471,951 'T '^ 'iiH (he Jeven ^1000. 4000. ,.1 DG. >/ ? eoo. " M' • 400. I form D; to it, At 001 wMi I, by tb« te^ptliof ThoanlK^ftip ^Mpimllif^iMt^l/yif |MI jit»o«^ insociiiebns it is C. h^f er. jii.yr|i than four tim,e8., ,py placing a line oy^^r thew numeral cFiars^ters^ their values amipcrcased one thonsafif! fnlaj thus LisJaOQ, v; > 5000,,3C, is ip.QOOj I, 50,000, (J.. 10.0^0^; 2000 ipjiai'mlly denoted by pl^Cio, or MM, btfl, $»)meiiraag H i'i ^\ *• ,uu.m Miiwui .«) i)i f !'■ ."..; u tm imm, aril «: '^l ot ' *■ ADDITION AND SUBTRACTION TABLE.* ^ s« S 4 5 6 8 10' 11 12 5 10 11 If 2 |. ;3;j 4-1 : 5 1 6,.| 7!|, 8 I ^i 10 } 11 | 12,1^3? 3 I 4t S'l 6-1 7 I H I 9 |-10>i II | 1 2 \rd \ 14 : 4" " 51 () r 'T'l 81 9 1 10 rn 12 113 n'4 i i^ 5 I 6 I 7 I 8 I 9 I 10 I 11 I 12 I 13 | 14 | 15 | 16 7 8 8 1 9 I 10 9 I 10 M.i ar.| .^|iG>U| 12. TTj 12 I 13.1.14 I 15 I 16 I 17 12 1 13 I 14| 15 |16 I 17 I 18 il3 j 14 I 1^116 j. 17 I 18 I 19 9 I 10 I 11 I 12 f 13 I 14 \Q\ 11 I 12 I 13 I 1^ ifl 12 1 13 I 14 1 li5 15 }^ 12 I 13 I 14 I 15 |. HI 17 13 I 14 I 15 I 16 I 17 I 18 ■I imM' 15 I 16 (17 I Irt I 19 I 20 16 I 17 f iS I 19 I 20 I 21 17 I 18 I 19 20 , 21 I 22 18 I 19 |.20 I 21 I 22 I 23 19 I 20 I 21 I 22 I 23 I 24 MULTiPLTCAttbTf^ AND DIVISION Table. 2.1-.^ I .4,1 ^1 6|,7i 8.,| 9| lOj 111 12 41 6 I 8 I 104.l2jjl4_}_16J^Jti.| 20 I 22 I 24 6 I 9 I 12 I 15^ I IH I Bl I 24 j 27 | 30 \ 33 | 36 8 I 12 I 1 6 I 20 I 24 I 28 I 32 | 36 | 40 I 50J 60] W| iri 20 1 125 I 30 \ 24]nO|36T 35 40 I 1. 4B I 45 I 44 55 66 I 48, 14 I 21 I 28 35 )..42.| 49,|.,56 | . 63J 70 | 77 | 84 16 I 24 I 32 140 I 48 I 56 | 64 j 72 | 80,| 88 | 96 18 I 27 I 36 I 45 I 54i| 63T72 | 811. 90 j 99 | 108 20 I 3 I 40 I 50 I 60 I 70 | 80 | 90 | 100 j HO I 120 44 I 55 1* 66T77 | 88 ' 99 |Moi 121 =?=*; 22 I 33 [ 24 f 36 I 4RTfiOT72 r84 | M f 108 | 120 | 132 I 132 V- 'M I. y # Id) : i {M, or w ^) im ti)rM w^cl in ii^|PMr^«i «l imtik M e^liieir 0/r«ltof > thM 4 : 6 i : « : 13 dMoti lliktilie r^t» of 8 to 19 i» the Mine m tlmi of 4 to 6, and it reed, 4 ie to 6 uSietold. f' OU i»y * V >* ^he eign of the eqpere root ; pa ^^ 16 =4. ^ it the sign of the eube root ; ka ^ 135 = 5. t I- ^ re(»iteient8 u farthing, or the 9iir TriR^* thop|^ ^iftf iw it f y dividisd \ it » only nsed £»r mecheal yreiM>rqiiiohsL-i^rtdcLaB44a^^ , 4 is to 6 tj thinf • f. \-m\M j; ^■'T ':■ ' » .i , :. ... ' i i i: i' -'+^ ... 1 i ^' -■t '■ ft . «!»• ,d» ^.-,,;,{ar.-4 quarter ; i . §•>: Jt^^r. ofT,^S| Jpk fsa- 1 hundred wcigbl mtf =s 1 stone '^ .t ^ 1 ewt»/ ^^ c; 8 stones n« AToirdupois we'^fbt is iUted for all purposes; el6ept those mentioned under Tiojr and Apbthecar ies' < weifbt^ mAsqsi: qf C4PA0iTri . .2 pints , ' pf, =s 1 quart 4 quartSior 8 p^nts == 1 gallon "4 u*-. > for ^gallons 4 pcicks , 8 busfiels 10 quarters . 10 gallon^ ' ^ 18galt6ns 43 gallons .:^^ ^'gallons . 84 gallons •^^'n^asepiohi 253 gallons .V ■.'I i. ss 1 bushel s= 1 quarter . = I last. srr 1 anker. ~ = 1 runlet ==1 tierc^ _ ^ ==>ff^ puncheon , = 1 pipe or buii gal bu8, ffr. '";'-'--^"==--l'lun. The im^eiria^ mee^sure $* eapacity i^ nquf used f6r'a72 liquids and all dVy gpods Innt ineasured by, heaped measure. The mperial gfiUon ' cbhiaips 277 • 2738 cubic ipchesi. ,(f Til It' XJNBAL HEASVRtv ^ lines it. =3 I2'inche8 :::±s 5i ysrds'f^fll 'in f.j'jjitt i 5s=- 40pQlej9 :!;t H t «= 8 fuF\Qng8 or 1760 yards ^et. 3 miles . j^s 69| miles , = ft' ilnch 1 foot 1 yard 1 pole 1 furlong 1 mile. 1 league 1 degree the earth's circumference. yd. ' I^' fur. mi. lei. O' '■iSS.^ri 360 degrees 4 inches=:i\hand for nueMuringJiorses. 6 feett^l fathom in measoring depths. A oliaiQiis Sfi-feet ; andls di voided into 100 links, each link 7J3 indiies. t r^ »^r'w>i i %*lb Mi-i • w ! i ii =7 1 cmrdron 'iikit. rtalloni '>-" ' 'ssr-l pliibk 4'3ecki S'busheli 351.936 eubie inehMi==: 1 heaped gmXkm: Heaped measure is uftctf ibr^J|ifne; cpals, cjtfftl, isliii JAiiatoes, and fruit. •_ ^ SdUARB MEASURE. '« 4*^ ■.fiii 144 square hiehds =s 9 square "ii'r. A 1. tfqUare yard '^^iUiUi i.ic-uiii'ut;fia 1 sqiiare pole or perch I rood ro. 1 acre ae* . = 1 square mile. 36 sq yards are termed 1 rood or building, and 100 sq. feet are called a square of flooring: 10,000 sq. iiiiks=:l sq. chain. 100,000 sq. links, or 10 sq. chains=l acre. CUBIC OE SOLID MEASURE. ' 1728 cubic inches = 27 cubic feet = 40 cubic ft. of rough, or 50 ) __ cubic ft. of hew|| timber I 42 cubic feet . CLOTH MEASURE. 1 cubic foot C.f, 1 cubic yard c.y. 1 load or ton. = 1 toii^bf shipping. 2i inches 4 nails, or 9 inches 3 qrs. or 27 inches 4 qrs. or 36 inches 5 qrs. or 45 inches 6 qrs. or 54 inches 1 nail , na. i quarter ,^]r. 1 Flemish ell ]1. {'.;;. ^f^; 1 yard yd: ' 1 English ell 1 French ell. . . YARN MEASURE— COTTON. 54 inches = 1 thread ' 80 threads i <.ss: 1 skein or rap - 7 skeins > =1 hank ■>il8 hanks ^ =5 1 spindle ' - J ' TAltN teEAlBURE — LINT OR FLAX. = I thread = 1 cut ' 3'euW' -».»*v^'fc5"'l beet ' 6 heeW'f>fe i }i>»>teB'» 1 hMSf^ 4 hasps = 1 spindle < — ^-ilSlS^ isk^ ■ hk. he. ■ '■'»*'^, •An. ■" '^^"^- i!i!, .""J pibiatoes, 1 10 sq. feet sq. chain. t c./. i cy. n. )ping. lijh9i|Ki Mi .■l,"<^^ iiif' 60 mmotM - ^^ 34 houn 7 days ilo. 4 weeks , •. j -^ = 13 com. montna &, 1 4ay> f r 5^7 ^^ weeka&.14|ijr,or,^$S;(tay8 ] 365iday8 ,; ; . = 366 days 365 d 48 1 ^inn[M)Q;lK>nth. 1 cdntcMirywtK 1 JulUn yei?t ly'le*p y*»rt ays, 5 hourf , ' 4d minutes, > . , . . . I seconds J— iwraryear. The number of days iff thl> 1^ caTendfllr'monthB ttiay be easily remembered from the followin|^ lines : Thirty days have September, , i^pril, June, and November ; All the r^st ha>e thirty-one» £!xceptin^ February alone. Which nath but 38. days clear, Arid 29 in each leap year. Divide any year by 4, and if thf re be no remaindier it is leap year. MOTION OR ANOULAa MEASURK. 6(r s^cohdd '^ = 1 mihute ! 60 minutes , :?= 1 degree ** 30 degrees , ^^J^; == 1 sign *• . 12 signs ==1 circle of the zodiac. This table is used in astronomy^ navigation, geography, &c. WOOt WEIGHT. 7 lb. avoirdupois « =s 1 clovo 3 cloves ojr 14 lb. 3= 1 stona 2 stones ==:^ 1 tod 6| tods , :== X wcy, 2 weys ' =r 1 sack 12 sacks = 1 last el «r. td. toy. 9K, la. .aV.-i HAY AND STllAir WElOriti^ «t»il 26 lb. avoirdupois of straw .^^^i. I tiviiii 561b. ";.>r old hay = 1 truss 60 lb. "' i^ew hay = l;.;^rus8 36 trusses = 4(ioad tr. l9^ ■ L-U 4. ^Lk I ^ ^^ *><^ Bt»*r ^ ^^ ^"^^ ^ Ib> • load 61 old hay is 18 iftwt.« .'^^.r id a load of novrhay 19 oam. 32 lb. OVM ^l ir MISCELLANEOUS ARTICLES. 1 ( o^. SOqaiW*^ ^'» lOreaiili' * ^'^V 13ftit«6tM li! gross B&tti^ein tk\n» 10 BkmB 12 dozen hides I f I qaire of paper 1 resss I bale < 1 dosen 1 score •' * '' I ffiDis 'rfin<»f^' "fHO^ ^'i I'f^tiki grttm 1 great hundred 1 roll of parchment r dicker of leather 1 last ,],,,, Id Ih* a?oirdupois s;^^ 1 h«ir?l of anchovies, ■ ilSlbs. 56 lbs. 64 lbs. SOO lbs. 120 lbs. 112 lbs. 120 lbs. • T^lbs. igjcwt 500 bricks, , , 272^ square feet 500 l^errings 60 herrings 100 fish , iOOiicri^s l4Q,lb. ttvMrdapois 280 lb. avoirdupois .:«»! Oil i 1, barrel of^gunpowdertrimomo 1 ^rkin of butter 1 firkin of soap 1 barrel of ;potashes 1 box of candles 1 bs^rrei of raisins i 1 faggot oJT steel \ 1 gallon of train oil . . 1 fodder of lead 1 load 1 rood br|ck work ^ 1 barrel | . ^ ^^? !! 1 quintal ,, . '. 1 hide of laficl" 1 boll iJiial 1 sac^ flour :% ! ii niiiV 1 sheet of .paper 3=3 4 pMgea folio, or == 8 pageif quarto, or = 16 octavo, or 5= 24 duodecimo, or = 48 (24tb). A pile of Wood 8 feeit long, 4 feet wide, apd 4 feet high, 'makes a cord- It Oaght to contain 128 feet splid or cubic measure. ' " -/ -' The 1 2 ca lendar mioiUhSf and the dayt in each. 1. January hsi^l days. 2. February 28 3. March *31 4. April^ 30 6. June 30 7 Jiily has 31 days. 8. August 31 9. September '30 10. October "^^'^ / 31 id\%,3M,-Vev9iA)mt^ iu i u >>: J: .yA :.■ .. ; ii' CiMi'-t .•;';.',;■ ARITHMETIC. "■■ ' VAVL'ti. .;•■■! ' ■■■•■'■ 4 . ' ■■ ■ A9|THMBTio,ifl the scienbe of numbers; it expl«ins their prMertiet » and the ert of eompatiiig bjr them. All iMimheiM are expreMed by the ten followini; dgwcta: 1, • 09e> 01* unit ; 3, two ; 3, three ; 4, four ; 5, five ; 6, six ; 7, sereii j; St^ffight; 9, nine; 0, cipher). or nooght. ' .Number is ene or nUmvin. unit or colleetion of uiiits ; as t, Unit or unity is the number one. [A whole fiumftcr consists of one or more units ; as 1, 3| 8. A. Fraction consists of one or more parts of a unit; as ^» |. An Integer is a whole number as distinffvished froAi a fraction. An even number can be divided by 2 without a remainder ; as 4, 6, 8. An odd number cannot be divided by 2 without a remainder ; A^0bHraet number ^cniotta a number of things generally, without a name; as 2, 7, 16. i:.// " K eqncrite number mentions the name ; as 2 men,; 7 mil9S«ir 16 8hiHirl((8.' ^ i . ,^ 'r k/oimple number is a nutnbter of ,«,ne n^^ie or denomioation ; = ai'j^Unds, £5.':':' 'Q.X'f^^'^'^r-ii^'^'^d-^.^-- ■' ■' e^fc*? y^^*3 A compound nunkoeYii a number or different names or denii* minations ; as pounds, shillings and pence ; £5 6 3. ,. A, composite ,n^nlber is the product of two or ndioro other numbers ; as 24» which is the product of 4 and 6 ; hence 4 and 6;an» called thccomponen^^aK^e of 24. * ^ • T^ fundamefital rules of Arithmetic BLttyAdditiont'Subirae'i tip,if,Multiplieationt&tidDivi8ion. 5 Is thei art of reading a number expressed in Jigure0. ; QuintilUons. Quadrillions. TriUioiis. Billionsr MillipQe. Uuitsr. 438,759 274,1^ 341,789 429,561 752,948 756,3-19- iSlxtiUiiis, Sepiillid^s, Octillibris, Nonillbns, follow/^'' ^^ iH' > i% . '-.,vt-j^|IOTATIOM, ^ oil, .- '^ . . Read, or write in words, the following num^n : 48 — 103 —570—2,600— 3,110— 4,062— 95374— 90,306— 74,023— 615,490—308,201 —4,720,536—81,504,900 — 420,607,058 — 14,970,053,409-30|,Q58|40(),7ij^,0^,§0^1 7p,683. NOTATION Is the art of expressing any giyon, nuinber in figures. Express in figures the following numbers : seventy-five — one hundred and forty-six — three hundred and two^—fotir Jlun- dred and seventy — five thousand eight hundred and tWenljf^ ,thcee —^ six thousand four hundred ami ninety — nine thousand and nine-— fifty thousand and scventy-'^^ne hundred and eightjF thousand and twenty •five-~eix hundred' and four thousand nine humdred — three miiliona.eighty thousand and forty— sixty nsil- lions four hundred and two thousand and twenty-one — three hundred and forty millions five hundred thousand —• fifty tboa- sand two, hundred qnillions sixty thousand five hundred and three — six billions forty tiioiisand nine hunc^d millions seven(ty thousand and eighty. !! i v SIMPLE ADDITION ri^. Is the method of finding a number equal to several numberi t^ken together. The number found is called the aum or amoW/^^ RoLC. Write the given numbers under each other ;i4nit8 under units, tens under tens, &:c. ; draw ai line below tneni; add up the units colunin, put. down the right han^ figure, and carry thereat to the neit ; 'Oohtiiiue doing so with each coluini| to the last, under which place the whole sun^., , }, 4 3 } 6 5 21 17 436 274 510 125 603 789 SXAMPLBSi 5274 10«3 8020 '4318i^A iii- 6205 3742 29522 24248 29522 2436 !■ 1 i II i -^* 70^ 847^' 630» 61 7538 2324t 20807 43658 70t5 475 95146 8563 229«it7 186019 mm : 48 — 103 -74,023— 1,607,058 — 3. enty-five — u-fotif imn- nd twenty ne thousand and eightjr Duaand ntne — sixty mH- one — thrbe - fifty thoa- undred and ions aevenfty R V al numbdri )th^r; vnits »elow iii9in: figriii-e. and lacb toiu^ijl n :', .'-luiD-vin-l!! 43658 ' ' 7016 ,■■■^-■•'475 9:>146 8563 S77 186019 (*) 34 59 16 73 48 ' :.K'> v 37486 71630 85019 46754 S0583 98307 74958 68174 43643 51&96 27435 8«W 13702 ii^oi 47384 71605^ 2619^ 5^410 18039 60945 54256 34371 426 703 IBO 317 .651 1780 -<;}• D 43875 76031 14708 51684 85460 67259 57428 ^ 3lftt2^«' 16945 ^3604 62750 20857 98310 €3854 35469 70387 69536 94720 4# 5201'*- ^ (•) '^ 54963 87052 u, 15804 .1^93891 '^ 26370 >' 74855 -I t-.: 74il5ft 10943^11 8740Si 24870 43269 38052 61738 96321 ./■■>iu en 25876 740U 51720 3620^ 17'48r 40318 29634 46835 76018 90802 47186 29573 62704 12345 84934 3^204 6109d 4^82 86340 20475 75264 14671 .m. ll'i ll.' 63816 17052 :u>«J9 35640: 20938 7^183 4724 6375 •f^. 'J)UC What is t^ieBam of 8435 + 170 + 95836 + 47 +708 + a(J38|8+5654+3a9? ,< 3. What \h Ifie fDin of 7O5^0+$39+561438+748O7+84+ 7a»40635+7276+$4^ ? .; - , . . an ■ - 14^ What is thf^sum of 948^+,^867 + 8d + 48937 53«l+98+tOO0+8Q172+19+8i6? T ' . . ^ . ilt4.,^. Add togcth^i^Twanty*s^Qn thousand-^ight hundreof^ fcgijMninc— thirtjTTWX-— «ight tliotisand and nine^twelye toc^^f sand nine hundred.and sixty •thiee-rfive thoustinjl and for]^r'„ five hundre^d and seventy-eight thousand and forty-six — 'loar hundrad and sixtj^ — -forty thousand eight hundred and seven. 6.% Find the auWof — Six iniillit^is eight hWcfred and se^it tbbuslihd nine lltfndr^d and tw0^^fifty thous«ind and sevenk^* -i]&1tii§fy-six mi^hs eight hundri>dtod five th^QSaUdsixhunJR^d -^'ffftikeen thotjf^ahd and four-^^ight milfiic^hs six hui^lAMd' ait^^'Mfiety thoosamf eight hundred and foHy^five httndr«tf< aiid"!|^lxty.nine rtiillions fifty-^v6Mif 1846: required the time from the creation 7 of Manoheater, 296,183 282,72^'; of Glasuroar, 274,394 ; ^ Edinbi>ffJ9h» 166,450; of j^da requited the amount of the k|i»i09992. (M lOOC^lT ▼V 07I8ISM0, («) 6818M585. (») «084; \ » (»•) 5850. < ' <*M^r8644689. SIMPLE WBTRACTION , , la the method of finding the diflbrcnce between two given num- benfr -The greater ia called theminuendt the Icsathe «ic5 16fi07a4U wmi 593 (..) f049ei39 926139 It 7I9S490O 3S9603 809491789 S16496974 #^130^970 ,WW7874 (.14) 71009425 90478 u (•) .48709508 88819974 )09080'; 809080700 61^110^} 51(800934 999085 60034156 34157 4Qooooa 8999909 1"> 63849573 6995618 70938865 7086868 1. WhMii the diferfenee between 8390000 and 901939 T 3. iVbet ie the difTerencb between 499679 »nd 1030547? p. What it the dHftrionce between 90188 and 210043 f 4. flow macb does 8540317200 exceed 8997485 1 15. How iniich does 99999 want of 1000000 1 6. From 8314050 sabtraet 748392+58396. 7. From 7000000 take 99999+777777. ♦ 8. From 63014+8579 take 14580+6495. 9. .74m« 740^6^+9483 take 2488758. 10. ,^|raf9tii^678 from lOOOOpOpO. ,, 11. _A.9|ai| bom m 1715, died in 1798 : wliat' was his age? 12. : A ||i|Ml>:WaQ jGf8 ;|Fears old in ISf^ : ,wheii WAS^ie bornf 13. ji^Qieiiea was discovered in 1^ : how long it it sjnee? 14 p^fi^^^jfiftB inveDtea ^ ifWfif ^4qng is it since? 15660 Toeia m % [•) 09408 79974 ^700 00994 99065 34156 34157 38265 36368 mS99T )30547t )043r li-.-. his ai^ 7 it sjnoe? it iince 7 inmaB huui wlipatioii* ivf 11 A.ll0Mi €46159765 4 ^99611(1^ '€74996 3928245 Product 5249736 Product Milltiply 837429156 hy 2, 3, 4, 5, 6, 7, 8, 9, 10, 11,49. Multiply 837429156 hy 3, 2, 5, 4, 8, 7, 6, 12, 11, 9, 10. Multiply 1. 74963854 X 60. 2. 59689479 X 80. 3. 4854293 X 500. 4. 72954986 X 400. 5. 883968&7 X 7000. 6. 95827694 X 90000. RuLS II. Wiiea the «ulttpUer ia greater than 12, but a compoaite niNBber ; malUply by its component parts. Mdlt. 74867984 by 14 Mult 49526378 by 24 ••!" 149734768 1048143376 198105512 6 1. 74889 fine X 2. 969497965 X 3. 479360587 X Product 1188633072 18 s= 19471048968. 39 ^ 18029699960. 86 '==: 172569811991 .i^i ;■!; ii m ..!>? in' t.. tV.J fid f>5 i;j«rtti I: 8 9 8. 570854838 X tJj = 4li6i54«iS6. ). 749385627 X 84 = 639483j^2668. .a I l^ 5f(^g6$,8^,.X,144 ;^, •^r^994#^,;:,^,,|,,,. (7 /|^vi by «afeb rfigone sept^ratel/, taking care to place t:lx«!; Jicst ; fif oreir ,ili^p^l08835 9631265295 6420843530 4, ]VIuU. 48769^«600:ijl^f 407500 40^750qi iProof. 1- 4 243847430:: I T^J^Yf ^% 341386402 K X X X .7644.9114775 3. 38056918 4. 91<54'^64 5. ^5V4967 X 16, ^7498685rx 7846529 X 5319476 X * 8736582 X 4517^47 X 6085700 X 19^7944 -^'^^'H^^^ii' ^4 1987356554500000 1! 7. 8. 9. 1% II. 12. 13. 14. 43 ==u 3218634409< |7 =R|,,;;n,81816^^7JJ3^, 9057546484. 83121864420. 42S0802i290.i 36910945770. 34305024788. 425877248561 615929031000: 178Q03l71d00Q. 551242706000. 238 = ,905 a= 870 t= 642 r=i 4372 = 8006 = 7050a = 394000 = 90580 =: 3916000 X 2700500 = 10575158000000. $450549 X 15463 = 130670839187. 5195463 X 600080 = 3117693437040. 1. How, many, stones, each a foot squfre, will paTO a floor 40 feet lon|f and 32 feet broad? ^I - 2. My iDoonfio jit 9?^ P®** ^^^}^ » ^(tf^ '* ^^^^ V^^ annum ? 3. How auiM^ ietlera in a'volumf St 49^ pag«i} each pag 39 Uneti maA ea^b Itoo 62 imrtitrs t ; i «^ : . page eaeh : ihare onebi 8. bednrJs eaeh IS iiheaveft 7 i«u« ^^pii«oiiiiH|ir«r>« teitieif mv«Atfd ' mtimiif theib^ « >?'» -^ >t ^d ..V 7f« JBfP^f man^ Ifrainf of f ,^ef*.wiai , fill 98T bofhol(|» irhen oJM Doshel cqntf4r)* §75,0W^.gnipnat r M ; ,t<;Arvj» Js^ri »? ; /vi 8. If the number of students at the Colleffe of Edinboif h bediran:«t#agB^i;BS6^and each exfiknd j630 ibr^liis>'ii|lainte- nance» besides X13 -for cisis-fees and books: how nnich monej is thus ^ireolated'in Eclinburgh? t j - iti* it'iT ' 9.' -If the n«Hiiber of newspapers r published- eaeh week in^ Orteat'Britaitt be*578«^ ali»d of each on an«iirerage 1145/jB6piei are sold: how many are sold in a year? --^ 10. Jli tbo-ilun>bpr of Ifiackney coaches^iii London be> 1^4^)0, and each earns \3. shillings per day : iiow mainy shillings will theye«rif>ina^>*«ilof!S65da^i? V ^ ' ';V 11. 'A genUeiii^A gave -his daughter- a^f^OTeetiG in which were IS drawers, ^6' having sir divisitfM, aiid in cabh division jei34: what wad -the toy's iWrtuilin **f * - ;i]' IS. ;flow mahjr unices 'will a man wieilk in 56'^(earS^ supposing him to travel ^S mile\i per day, and that eVery year consists of 365dayi? vtr-r;'.n*^ ..■■■ f,» ■ r m-:v.-^d^f (") 12fli0. (-ay #1508, (») 884«)8. (f) £3«19. (») 89IH2. '(;?*> s£S8984. ^'') 666225000. (»V £77952. (») 844t4120;(i*> 6694000.8. (">de9648. (»») 245280. Vi5 hi. M' >. SIMPLE DIVISION » 1 Is the iii^jthod' of j^Qdiiig how often one number is contained in another. ,,,,,7'^7>"iP^>^Mt»or, the nuofber to^'be divided the dividend, and the result the quotient. l. RuLK I. When the divisor is not greateir thlan IS, divide tlQ^ntaliy.' ,X>ividend. Divisor. 3)47S8649S Dividend. Divisor. S)46383S74 •if, I 1 : Quotient. S3141637 •i-4' Proof, 46S83S74 Quotient 1576S164 )-..i,.il iir. Proof. . 4738648J) >l I i d. 5738(10941358 -r 3, 3, 4, 5, 6, 7, 8» 9, I0,itli «. MviS. 94917888«888>*<-4,3^8^t3i^i«,l5,^^''l«,ll,10. Y I KvifB II- W^ 4h»^i#f|pof Jd « 9onf»iU mmimi, diride by its eomponent f»|rti*ri(ij^. '<' jVoie. To ' fiful ' the' tnw 'rMnifi/der; fnikltfply tba'last nimsSiider by the first divisor, to this add the -firit^^ihiiinder. <,iaH C<3)74fi638<9 -M4 t 7)37131924—1 ml Qmt !58O4560-^ (5) 688715&^9 Qaot I377431--3 a Rem, 4Xdrf Is^ Ki^^i tRem. 8x44*9tsl4. 1. 7438952617 H - 18 = 413^75145 fpm. 7, 2 8507281935 H - 24 s= 354470080 A 15. 3. 519463706(4 H - 28 = 185522753 • ■ 'r.;f i 4. 9305263820 -^ h 35 = 265864680 20. r?r 5. 6714832166 - r 42 = 159676S56 4. 6. 3750984719 - h 54 = 694^679 53. 7. 1938527492 - r 63 = 30770277 41. 8. 5409182561 - r 72 = 75127535 41. 9. 4738509127 - r 81 = 58500112 55. 10. 7294850642 - r 84 = 86843460 ■ •«. . 11. 3710538274 H - 96 = 38651440 34. : 12-, 8593250750 - r 99 = 86800512 62. 13. 5148365083 - r 108 = 47670047 7. 14i 6039147815 - r 110 = 54901343 85. 15. 4718052938 - r 132 = 35742825 38. 16. 9403678195 - r 144 = 6^303320 115. Rule III. Wkeu the dtvisbr ii not a eotnposite tionfber, draw a curve on each side of the diVrdend, and fiHice the divisor on tjhe left of It. Take the le^st number of figruFer on the left of the dividend, that will contain the divisor ; find, how many times they contain it, and place the number in the quotient on the ^rigbt of the dividend. , Multiply the divisor by the finruM placed in the quotient, subtratit the product from the assumed :fi|tn>'€<>t ^nd Ho the remainder annex the next figure of ^ dividend. Divide the number thus obtained in the same ma««er|«nd so on till all the ggufc* of tbi dif idend- aie medt ,11,10. Issl4. nn, 7f 15. SO. V 4. 53. 41. 41. 55. S4. : 63. 7. 85. 38. 1X5. pkce the figrjuret on ; find.liQW he quotient i'-'.i-'i'l 16 quotient, uid 'to the Divide the till all the ^ 1 'X' 44916 37430 J108* 7486 ■,..■:■> »V»^4ti^ lot. : 1*86 ■ . - ,-. ■■! ,t,.,.v ■ > III m i;. . 301433 521184 ««0593 *i 456036 vi i I'M 35087 39944 60433 59688 .487698473 Proof. Remainder 544 48769847^ Pnoof. 1. 58896274 -< 5- 31 ss 1883750 1 renr. 34. 3. 608374£>5 - f- 48 = 1332553 33. «. 37419538 ^ r 53 = 517349 41, 4. 40381694 «* r .67 = 602711 57. 5. 10507431 -; r -74 = 363613 69. 6. 34182947 -; r 85 = 4(^153 37. i; 70546152 - r 97 = 737279 89. 174963081 H r 317 = B06281 104. o! 410589475 - r 308 = 1333082 219. 10. 764127542 H - 470 = 1625803 132. 11. 519380257 - r 526 = 987414 493. 13. 873154963 - r 691 = 1263610 453. 13. 249375016 - r 705 = 353723 301. 14. 031842790 - r 858 = 1093712 166. 15. 838140819 -: - 4081 = 205376 1363. 1«. 481093600 H - 5830 = 82520 2000. 17. 743725482 -. - 7153 = 103973 6613. 18. 619430528 - -. 9007 = 68772 1124. 19. 951653000 - - 8700 = 109385 3500. 20. 745419364 - r 43742 = 17498 31848. 31. 919008500 - 1- 708000 = 1298 54500. 33. 674851680 -i - 81030 = 8338 33840. 23. 793087000 H - 66500 ■—- 11300 38500. 34. 548300000 H - 53080 = 10339 36680. a>W. 990Maeoo H r AQTOOfl = 914 3640Q0« /* ill 1. My yearly income ie $1 ^SS i* wha^ It iHU |>er week t 9. U^ 1^ AQ^tekk \wiK requlto i^ vt^ei; *iieli a eqaan foot, topave it : what is its breadth t «^ >' ^ « 3. The number of letters in a quarto volume which eon. tained 4,465 in a'imJEr^^ were 3,393|400: ho#^)&any paffos and aheets were m It ? < * • a«. »J 4. Great Britain tfird' Ireland contain^' a- populatSiowW 26,835,773, and their 'surface is iSS^ldd'^oare miles: how many inhabitantvia that on an average to«rlie> square mile V 5. Franoe'^^'donia^nB a population of 34,140,900, at theTraU of 167 to the square mile : how many square hi lies does Frknce contain? i' 6. A multiplier is 789, and product 6^678,885 : required the multiplicand. ' 7. If the hackney coaches of Edinbifrgh earn 985,500 ^shillings a year, at the rate of 15s. each per day : what is the number of coaches ? * •' ..t^rii '? 8. If a pigeon fly at the rate of 56 miles an ho^ : what time would it take between Edinburgh aYiid the' Cape ^ Good Hope, a distance of 5,544 miles? 9. Ac capiMin, mate, and 56 men, take aprixe worth JC40,020 : howmqoh will everyone receive, supposing thttm all to share alike? 10. .^How many; miles is a.per8on;4ivin'gki Toronto carried eastward in an hour, in : conseqnemso - of the ' earth's diurnal revolution, supposing, it performed in S4 hoiusi and, that tho parallel of Toronto is J 8,360 ? > • : (>)$26. (2)92. (3)760p.or95S (*) 219. («) 204436. (^) 8465. C) ikO. (8) 99. f)£e9b^ (i^i 765. ^BUPPLCllES^t TO MULTIPLICATION ANn iDIViSlOM.' I. '\VfiiBn the 'multiplier contains a fraction. . Rule* First multiply :by the vpper figure of the fraction, and divide the product by the under figjire ; then multiply by the integer, and adfl the product to the quotient. ; I 11. Rule. mdtr a rodoct ?> ■^1 irof; -. Mm Mult. 6467536 by 8J Mult. 538267 by 406| 4061 ii\ 5)19462608 38925214 51900288 ^^792809$ Prodi n 8)2691335 3364161 3229602 ' 2193068 A--t-± *!•-■ .1- 0; db6^472 7. 4936582 t 7 1^8978^ X tf ^ 5ft6734e9|. 4.- ilt6408 r V ^ :^ i|608(*|: 5, t^l05« X lOf :^ 88l87dtU4. X 124^ = 8709^11}^ X X == *87d67i|/ ^ 8405274 X, 50| == 1712^d85f, 9. t5869i4 X 6142 = 466 td20644|. X 8021 = 1 125781 118|. ^ ^'^^li f" 5068969450. X 800|| ===: 1482721646|. If. . t When the, divisor contains a fraction. Rule. Multiply both the dividend and the divisor by the mdtr figure of the fraction, taking in the upper figure to di« irodoct of the ifioMor; then divicle. 10. 4718360 li. 9S7425P 12. i85£148 Divide 487654 by 3| 34) 487654 5 S 5"f*,« 16^^3)2438370 yif8>4219135 6 nfafv63) Divide 7458 by 8f 8{) 7458 fiQuot w^ 153391) Quot. 44748(844)f 434v.'. 234 213 , 1. 74981,85 2. 2704526 . 8p 8571492 4^ 5149300 bi 6381753 ^^ 6. 1437016 7. 4Q13628 .8: i^l74095 it; * 'm77|. = 6436625. = 505485^. vdl_*'i^ttss 15807176^-^' 84 F Z :M' = 142719^ 4- 60v^ i= 86001 Ji V 9; 74386^4 rf. 5^4j =141751 tp. ; 3^751^5 ~ 800A == 4b8^r fie 841)74^ -~ 780|{ =? 107(58 .^,..6|340g3.. -i^...274}§ = 24540|?lj I 'M I ,i ;!., h 1 It 0i' MiMlifiKIMMIfi^iSMMIMtllll^^ I. Lent W i^'fi^ toJ9. 48, t i^ontained 39 acres, and produced 1,664 buidiels of grain : how much was that per acre 7 Ana. 52 bush. 10. Mv! ttcrtai laSt yeat^ prod need 526 bushels of w)i;eat, 147 bushels of barley,; 78 of beans, 100 of pease, 274 of oats : how many bushels ha4 I in all? '■ jtiksv li^l25. II. A certain county contains 124,440 acres, and 20,740 inhabitants: hoWliiany aftres are ther&>t<» each !?\^^ An». 6. 12. What number divided by 27 will have for quotient 1111 ? An». 29997. 13. If a man walks every day 2 hours, at 3 miles an hour, how many milev will he walk in a year ? Ans. 2190. 14. BoVrOvrcd from A. sixty-three dollars, from B. twenty- nine, from -0. thre^ hundfed and forty=eigbt','aiid from D. one thousand and fotir^: how- much did I borrow iii all? Ana. ^444 15. How many days «re in the 12 ealendan months^? 'V'' .."''^^^H V ' ''■' ■ 'Anf.S65. 16. Whai^s the difference between' twice 5+20, and twice 204-5? i.T . Ana. 15. 17. Three uoys, A. B. and C. won together 97 niarbles at play ; now, riP the number of marbles B. i^on be addi^ to the number C.'won, they will make 60 ; and, if the number A. won be added to the niimber B. won, they will iliake 62 : ho|ii^ ma^y marbles did eafoh boy win separately 7' ^ ^ Ana. A^31^B;25,Ct35. MXtOBLLAinBOUfi mfmmuurLm mvLxi. 9lp 18. SurnaroM iwir/int ivtlMriMdotv^liejVfed in ScoUand }$..,, A :inerobai|l hf0^ 900! pisoei of ^fsoftpp, oaiiliiiinii| 96}o |yiir4a each: how many. yar49 has he? ilifiu 3$690* r> 90i. A gehilenian'» in^oiAe i«>jG3000per yeart Mo#>wmi|i< jmay heiapend perday, andrsate JC540iat Iteyear'gend?' i ;'.«■;.». •j'f^utj't:?.*'* J^'fcijtiii/V .■ ; n^uU'.i Into ' Allt.-'fl&ti^i Slv The> < irihrda nawi kispd \ in aritHnietio Wero brou|fhi intiiV jEoEopei)? the Saraecna^ froaa Arabia^) in 991, and Lord Napier {ioTeiited logariUjiinBin 1594: hbwmaiiyyeard intervened? . lii f'5«niii^(^ s'f'jM,- ilna. 603. ■ ,S2.N -What IB the difference between sii dozen of dozens, aiid^' Ihalfii dozen of dozens? ; Ant. 792. 23. Tbb sun's diameter is 89^^,000 itiiles, and the earthV |7970: required the difierdnee.- /> < ilnal 882,030. 24. How many seeds were pr6ducec|.1l)y a bean which had |l4 stemsi each sleiii id.podsi and each pod 6 seeds? iln«. 159$. 25. Wha^t is the difference between the area of a flo(>r;50 Ifeei'by 34, and the joint areas of two floors, each one haif of IthteBedimehBions? ; iln«. 850 feet. S[^(j What is the annual number of deaths in the world, Isiippoiiiog its population to be Q15iQO0^OOO» and ^^hat every yeatr loi^^Wt of 32 die? ? iln». 25,4^,75p. 27. A ship bound to a> port^ 860 milbs distant, after sailingl> I forward ^di^ farles, is driven back 58 miles ; ahe then |rets for* ^ ward 156, and is driven biok IBO^ miles; again she gets forwavdv 1680, and is driven back 56 : how far is she distant from her (port ? An8. 62 miles. 28. How much is one billion greater than 197,840,605 ^ Ans. 999,802,159,395. ' 29. The sum of ,£50(M)»ia to be. raised iVom) 12 countifi, in leach countv are ^ix townships: how much must each town{\hip ,. Icontribate ? "* Arts. £69^; 30. How many pins will a boy point in a week, who works [eight hounsi per dayv aaid. points 16^0^ pinS' in> an hobr ? . 31. The art of ..pfihting was discovereduin the year 1449 «^ |how} long is iiti since ?^ tthis being 1846;^ Arm. 397 yeafs; 32. How many strokes does the hammer of a ddck strike^ lin^Aday^alidhbwi many in:8 year of 365 days? : A«fi'156/perday>. 56,940 ^r^^K r /; .1*1 ■/, " ;i» It Ml ■»>.|l." What kinlbiriellel ' By whM are all nuitoUm exptr^iMadt Whit ltd ybU liiean by number? What ia the meanihg (6f onlt or Unityt ' What ia i whole toUfntef'f Of What doea a fraction consii^t What ia. meant by ati l^te^ert What ia ail enln namber? What ia an odd'iuimher 7 What ia an abatraet num- ber? What ia a concrete. number 1 Vv hat ia a aimpie. number? What is a eompound number? What ia a composite number? What are the fundamisntalfrulea of ariUimetio ? What ia meant by Numeration ? What do you mean by Notation ? What ia aimple Addition? How ahoold the numbers be placed? What ia the number found called? What ia aimple Subtraction? What ia the }|freater number called ? What is this less number called? How do you place the numbers in subtraction? What ia aimple MulfViplication? What is the number to be ipultiplied called? What is the number you multiply by called? ,;Wh^t ia the number arising from the operation called ? What are the mahipflicand and multiplier sometimes called? How do yp^ multiply when the multiplier doea not exceed 137 ^uw do you multiply when the multiplier exceeda 13, but ia; fpund in the multiplication table? When the multipl]i,er ia tiot in the talkie, or conaiiia of acveral iigurea, how do you proceed? Ho^ do ypi^ multiply when there ia a fraction in the multiplier? What'ia aimple pi vision? What is the number to be divided called? What is the number you divide by called? Whtit is tbef result of tbd operation Called? How do you divide When ihh diirisor doea not exceed 13? How do you divide whan 'the divtf^ exceeds 13, but ia a composite tiumlier? How do you divide when there ia a fraction in the divisor? .■■it snu' , II i iffsttrfr; PART II. ^ eOMPOUND ADDITION i'vmts Is thfi; Of erat^>n of adding two or more numbers of diJfl^^ent denominations. , - -r , JRuLE. Wnte numbera of the same denomination mnder each other; find the sum of the ri^lit hand culuniO, which divide by aaonaanyf of tliHt name as make one of thenext lii)rher^; pliiie the remainder, if any, beloW the column added> and carry ^e quqti^l^tto, the next. ..,..,.?■,.. „..;■.!_> -'■.■.5;!^ .■■.:>■- .!,■,; Proceed in the aame ihatiner with the remaining deuiomiiia- tionvlo Aho lait> whidi add aii abatfact nun^bcrs. 1: iir I 947 10 111 «l 17 6| 148 19 9 419 16 7 ^9 11 111 470 19 91 1961 9 8| 1733 18 9 410 19 . 6| 994 13 11 491 13 .1 11 h 876 17 10 ^8 18 <4 916 16 4| 8469 18 8| 3078 i9 3 946 11 CI 371 16 4|^VM 713 16 11^ ^ fa 465 n ^ 654 13 893 16 M 3345 7 61 3098 15 11| i \- 1981.^ 8| s3489 18 «| , 3345 7 6|. X a. A U 16 9| 45 8 6} 54 17 8| 67 43 16 17 13 61 J80 19 %^ . (4) £ •. d. 43 14 11 : 96 17 J 33 15 71 10 17 ft 83 9 10| 67 14 51 54 ^6 7| 19 :9 e^ 95 10 4 56 8 10 63 15 8| 49 7 3 47 18 11| 95 14 9| 57 16 ;7| 75 IS 5i^ 58 19 lOi 84 15 8^ (') 33!«7 ^1 50 « I< 43 18 81 79 15 B| 94 9 10 35 13 4| 76 13 ^ ). i r, <•) '^^ C) 8 17 84 95 6 11 37 14 6| 70i 15 91 7 14 6|ii f^48 17 8^ i <*) 34 13 7|^ ^'^^m 16 7| '11419 4i 80 10 '4| N pr S4 13 41 6 9 10 < A < 45 17 Slj^ 74 15 «!• ^63 19 9| ki^hi- 75 % 11 915 8^ 63 -»7 5 ^iB 7| 8fl- 9 10 ^^13 . 6i (•) 490 10 3 I ('•) 347 16 8| 584 IT t 173 i ) 51^ IJJ; ^1 372 8 U 106 14 ^\ 890 16 8J S^7 9 41 740 17. 8 305 9 4 i vx 12 473l>j(6 Wi^n ^ 7<»14 61 419 15 n 516 8 74 905 11 3i 190J4 ^; $$4. 7 9i 841 jl6 4 436^ -.U ^ ^ . - ^64 18 111 973 10 3- 173 ir 4ii^ 671 n ip ^ 353 ?i 9. 73^ 14 1| i pi III " I ^ i i HI \ m fl! J |A Ml Df C 758 -Uk^ 190 AS ^ 498 A» ai 371 jH 549 14 305 13 894 16 6* 9i™ 4| U4« (t4) ^ , iB i. 4 tf. f>( 496 10 ^1 . 581 16 4irt 103 10 10 874 15 v7| 940 17 j8 -^ 718 13c^i ' 361 14 6^ 718 18 11 74»'I4 8i 490 17 5| 368 10 H 573 18 4 140 is; 9| S64 17 m 507 13 9^ 475 19 4^ ■■■■it i*X374 14 S| 857 16 8^ 960(17 11 538 13 7i 74r B 10^ 479 VS 4| 158 19 '6i 604 7 6 «i a; (If) ^ 547 13 6 V 670 14 81 or*' 9^ 3 4^f,j; ■3^00 18 6.45 ^ ifi9 5 Hi - je I. d. 347 14 8 C'> a; ^09 8 51-i i.{ 7' 90 15 ^7i 18417 6*3|, eJ81 17/10 >; Ci 65164 9 !4i M J 58 13 64 i i;, 7630 8;4ii;I ,. „. 25 14 It c«:W d. 74a 14 SJ ;]i69 10 7] ^IMOk^IS 4 rfifi0i;l7 9i Jri/7aM 51 il68 19 3} 955 10 10| 847 18 8| 304 16 7i 89 5 4 740 19 8| 16 8 5 853 17 ^ ^74 6 ^ ^^ ICT m » r- £ I. d. 74931 19 4 180137 M^U 19 14 11 (u c V 38574 r6 64?:i» V 3150 ;17 .9 »i^ 08 406 ifl Jliu ^ 48385^ u Id 7i 33 5 4 10 13 81 16 8 ft >3 11^ ^ ?4 6 tf^ j^ loF n\ ^ ^ai Ml iij : y^- ...... fo fy ■— r -»'-- • a. d. 12 4 3? «iie M 11 iU^ ^ Si'^i^ 17 .9 c^ «a t8iii: l$i sa nt \P 4d\£43615i.e(Sd.,4e7578.l0d.,je40f.6|d.,£lf n%., ft. FMd the8tiliiof i;9l^l28.6id., X8l9i.ll|d., J678i.4dl; jCM Iftf. lOfd., £9 128. 84d., ^€63 ^31. lid., £8 81. 'ST, J@U2% 61d. Am. JB357 fti. Tid*. 6. Wbtt do these three eume of money amount to— the firal it £iX 198. 6d., the eeeond ie 21 guinM^, the third ie 3 htlf- g^yi^ ^4 a crown 7 ' ^^ . ^ An§, je35 I7i.; 7. A fervent wei^ tp rouliel and-laid out on tea £1 1484^|d*> on coffee^lSe. 6d., on sugar £2 Oe. 6d.» on beef 278.^4>n-Aatton 368., on veal 98. 3^d, on Tarioua other articles 258. : how muoh dtd Ire tor out in ell? *~ An9, X9^llir 8. A man lent his friend at different times these several •nnMLViz.. X25 ISs,, M 7s. 6d., jC36 148. lOd., and fouFffbore and mnetedh pounttiB, half a-guinea, ^and a shilling: l^Wtnueo dMheiendinall* AA9. £170 ^9.J0d: - "H." "Paid for ground tq 'build a KouSe J6200, mason's bill ,£324-178. 6d., carpenter's je463 Ss. 94.j slater's J698 IBs. 4d.k smith's jCIO IBs. 9d., glazier'b X48 78. lOd. : at what must I sellilt^gain jCIOO? , An*. 1266^ 2d. ; 10;' A>i^erk, hafing< been sent out for the pajmentefiSom* bills,- reeelved from A. j623 12s. Qd., fh>m B. jCSI 17s. 101., from a ,£19 IBs. 8d., from D. je46 10s.3d., ^rom £. jei743s. 9d., and from F. JC15 58. : how much did he receive in all ? . - Am. £IS5 Si:^ ■(* COMPptoD SUBTRACTION || the n«Bijihod of fifdi^g the difference between two|9pm|ioiin«l numliers. *^ c R^LB. Write like numbers under one another. Begi^ at the right hand and subti'act each number of the subtrahendi frQin that bf th^ like nan^e in the^ininaend ; but if the under nbmttinr begi%ater, subtract it frorri'the value of the* hezt higher naiAe, add the remainder to the upper number, and write the sum below ; biit in this case parry 1 to the under figure of the next ^•"^* ■ ''all 34 19 i 15 8| 9 5 H (15) (M) 560 0*0 708 96 4 199 19 Of v.'.'-,i ; >. .' t». •y «.-■ iiv'K (") (*;> .*/)^ 0?) a' 94 13 5i / 65 14 7* 874 17 84 88 ir 8|^^^ «»I6 17 *9| 489 »8 1^} I (»•) >«.« 4.0 ^ 80 19 19 Of L^j I ■ ;. i 5(^ 6 90 111 ;S. ^Howtnach « ihe ■om of XlLlla^lH I^M(«hMti619t ^ i J61000— je;i35 15a+jef4 St. 7H+JM9 19«- >H , -•• •* "^ COMPOUND MULTIPLICATIQN p It th«i o|>eration 6f ihu'tiplying a compound quantity by 1^ aimpio number. ' ' ■[• *» RuLB I. When the multiplier does not; exceed 12, plaeeH unfier the lowest dettomination of the multiplicand, then mi|l>« tiplj,apd carry aS; in compound addition. , H elai- MulUply £74 1€ 7 J iSS 9 5i'^^*'«^' £658 12 lOi Ails. 149 17 3i ■ 153 17 9 4^ 1^ i. Multiply £678 Hs.Sid. by 4,2, 7,3.5^8,'6,io,f$, 12,11^ 2. iMultiply £945 8s. 7}d. by 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12^ RoLi< II. WhOn the niiilti^lier is a,co|Dp0iiit$ nilhlber.isBiil-: ^ by ifti component parts. ' j ^.j i t 98 iftmnvmhHvmrwhamn^ i: Ml w I' I i I 'i ^ ■''!ii ■ ■I III tm, -hfi' 5i^.'i3:.'^ ■r.^)^^ ^^i^f*. ITllS^'!^, :.. - . '|j^».. fc^v-* ^.#d^ i»^ii OiT<2^ ^ft ^OifAiMk sH a j-i^^iuU-HL-iik^ tk>i ■gr S. 1$ mijds If afy^een .......>« Oi 2:''?8 gallons Wirl^.4--'.----® 5. J^ yardu Moleskin .'.^...... & 6. T81 quires Papcr% ;..'. O 7. 22 yards Calico..»i-...i.i...... & 8. ,24 pf4rBoots.>.>....r-—f»<>» ® J^ ^25 bushels Oats ..••»• ^ lO. 27 oihiees Bark (S> Ih 28 i^uartoyolames ......... & 1%^ ?P pair, Slioes , (S> tf^'r^ 32 bushels Wheat (9 14. 33 Days* Wages 15>r 35, yards Linen # i .-0. li^f >., oPftiorses ...... «...•.•»%..<.... ^/S) l|^f 40 yards Ribbon (Sf JSi 42 Sheep (9 19. 44 pairj Stockings (B 20. 45 yards Silk (S. 21. 48 gallons Brandy (S> 22. 49 lbs. Tobacco f® 2^., 50 lbs. Sugar.,. i^ 24. 54 Maps .(9 25. 56 cwt. Sugar (S> 2S. 60 Norwich Shawls......... ^ 2ti 63 yards Silk :;.......; .... 28. 64 barrels Beer ; . . . J : . . fiSii 66 4(i'ithnietics..p..... 00* to lbs. Tea 3)^ _72 acres Land ,, 77 P^^ir ^hoes ..,. ,... 80 quarts Rum 34; «4Hat8.i..;.....v.......u... «> 35k' ' 88 lbs. Cloves* .«'............ ^ 3&. ,90, botfjes ysf'mfi (^ tlW K> , 189 13^/10} An» £^''t ^>cL^= (;:i ■■ -^^^ .1 ' 1.' "k^' 2 9 Am.'l 18 6 ; .1 7i :^I >4 M 7 8 4 2 ? 14 9 5 6 4 9 4 15 1 2i 1 5 4i 1 3i 1 7 Hi 13 6 16 4 1 4i 1 14 10* 5i 12 M 1 12 10 r4fii 19 4 .0 8 9i 13 3, 9. 5 3 8 8 4 7i 7 n lu 2 11 5 2 1 14 17 8 ...• 535 16 91 1 12 6 1 2 3 46 14 6. 3 H 6 17 6 5 10 13 2 6 16 7 39 16 1 5i 3 10 5i 8i 1 16 5i 17 6 47 5 4 13 6 261 16 11 4* 34 2 TB 4 10 15 '4 « 1 8 89 12 1 8| 5 14 li 4 4i 15 6 3 2 17 6 207 9 3* 35 }3t m 1 "1 7 18 4 18 9 •> t 178' 11 2 6i •, ! 10 4 P 2 7i Ik 14 u4i 1 :A^ ....3«> ^«i«. i m 4 vft kt < it 1 18 6 1 4 4^ 6 2 8 :| 5 6 4 15 1 5 4$ 1 7 Hi 16 4 O 1 XA: lOi a 13 4i Ifii 19 4 13 3, 9 8 8 7 11 m 5 2 1 35 16 1 12 6 16 14 6. 6 17 6 L3 2 6 )9 16 3 10 5i 1 16 5i 47 5 >1 16 W 2 IB 15 4 t J9 12 5 14 li 15 6 3 )7 >5 n m 7 18 4 rafe 16 4 .i< \AM \l A vO; 36:M^u^Sb^U.-:V^t::::. ^ l^i? I^^ili 1 1 39. lOSDeali ..........'..'. (9 1 'Sl' ... 6 KT 9 40. 120 Oxen ..i O 9 13 5 . "1160 10 41. 110 firkinp E(pter & 2 8 10 ..rS69^TT 8 42. 121 E^ep ..,..,.r... O 17 11 ' ..*; 108 7 11 43. 132 stonei B6^f & 3 4^ ..V 22 5 6 44. 144 doxen Effcrfi..r.,:, o 1\ ... "9 7 0* RuLB III. "When the multiplier is not a compcNiite niimber ; multiply by the component parts of the number neareiLta it, and the multipUcaujd by what the i^iy^n nu|ab^ iirgi^plir or lesii and add or aubtract accordingly. a r :l ;)& Mult JC2 14 7i by 38 orthui. % 14 7i X 2 :62 14 7f X 2^ '_ 6 ■- ■ . 4 ;•■■ -: ,16 7 9 10 18 6 6 10 Ans. 103 15 9 Ans. 103 15 9 jC I. d. £ ■. d. 1. 17 Bo9ka....;v.v^^ (d 5 4 Ans. 4 10 8^ 2. 31 yards Cloth /® 10 t^ ... 16 9 4i 3. 39 acres Land i ... 2 15 6 ...108 4 6 4. 47 acres Land , r9 17 10 ... 41 18 2 5. 58 lbs. Sugar (2) 7^ ... 1 16 3 6. 67 Heifers ^ 3 4 ... 214 8 7k 73 cwt. Siigan'. .v.i;^;. & 2 lU ... 149' 9 h\ 8. 78 bottles Wine ® 3 10 ... 14 19< ^ 9^ 85 stores handles ..v« y® 7 l\ ^. 30 5) . 7^ 10. 97 yards Cloth .......^..^. . (9 8 9i ..« 42 10 9\ 111 102 pair Stockings... » (^ Oj : 19. ... .>> 6 ($, .6 12t 107 Ewes.u. 15 0^ ... 80 11 M 13. 113 Cows r® 5 6 3 ..^600 6v,9i 14. 122 lbs. Soap (8> 0: 31.,.. 113 H 15. 128 Hats m 1 6 ... 131 4 16. 134 pair (j^Wei^ r3 1, .5^... 9 15 5 17. 140 yards Moleskin (Sb 3 3| ... 23 3 9 18. 146 acres Land ® 3 10^ 1 ...51112 2 19. 150 pair Boots «..«......*.... (d 17 8 ... 132 10 ^ 158 fitonM Cheesa ,..,.,... (9 0; 6 10 ... 52 56 |jr^e.,^14nUiplp^tioii )l)y Ijirge.iwmberican alpo ba perfi^piedt but such questions are more easily iolved by ppctic9.»,^Viod kV; yet V c m ii m 'iiiii': im .^ 508 nriiifya 15f. 7d. i^ jti, 6348 yardi a 3^ 54. per l«r4 ■ ITr 7.x3i rfi; : •;::^:^ ,5%:n;fl ..... r" ri'i,*,0 wis I .Oh- - 'TW^'i(fr:%i -J V4J,- ...,» ■.•"in »"»' '^* 1-^' '•■- ^ or oaiV^; T . '^: •'■ *Sfta»^Xr 8^^-^d»^«00i'- ^-^;170 16'^'8'n^^^«««^ -'^^ ^i*-- 46 15 price of •^^'i^^-fii^oi^ ^^■ai'iv$ ^^^ h.^:^ ^■■.:.k_^^-\ 3 6 9 priee^of u 3. -M' .?/ 438 13 5 price of 563. 1. ..u 1035. price of 6000. 34 3 4 price of 300. 6 jl6 8 price of 40. 1 7 4 price of 8. /JK a. d. 3 16 §, X 10 7 4i X 4 13 10 X 5 8 3i X 8 15 8 X ? 6 14 9 X 1067 7 4 prie^of 6348. 435 = 1663 1 3 174 = 1804 ^3 '^ 847 = 3931 9 10 3740 = 20850 10 10^^ 6054 = 16850 6 1607 = 101^3 9 3 •i* r COMi*buND DIVISION : ii the operation of dividing a componnd qfiai^tity >3r)(|:finip|le irinnberi &>c. .,.,., . i/v'Y ri^ir/oij 'SK .8 FRiSfi^R I. Divide tfae hishest denoiniti«Ctim6f lb» dt^ideitd ' t^ thfei ^rvisor, and rMuce the remainder,! if dn^v to th^ next ilifeildr denominal^on| adliing the given nurn'bef^f> that i^ainb; dtvi^ this aa before/ lUid proceed in the same manner tt» the l^elft dWminatien. ; H f 1^ivi|6 j^7 13s. 6i^ l^ 4. Divide je51^ 138. ^^| |i>yt7. "■^t r4>54T13-6i. t ■ ■ ■ •7)5 149\^3' 8 |i^'h- :y f 136 18 4i-^ Anf, 7;S$ J[3 4i-^An* DU«dilX74i93 178.544. by 3, 3, 4, 5, 6, 7, B^ 9t lO^lIf 13.^ DiVid« X91075^. 3}d. by 4, 3» 3, 8« 7» 6^ 5^ 13«ai, 9* lOi^i ^' «oiiH. * Wen ih^ B#jlli6r:|i% *iri^t* ^^#er, «Wde V yvi hiOi m y-i^-- iAobi V :ii ■fii 1. * W IT ■k ■$■■ 15 36 , k t. 4. 904 9 -T* 54 = 5. 562 15 ih -i- 60 = 6. 100 7 4 -7- 63 S= 7. 750 10 , -7- 70 = 8. 417 9 8: -T- 7« = 9. 5173 14 7% -r 77 ss 10. 4805 8 « -7- 81 = 11. 1364 13 n -r 90 = If. 8550 0^ -T- 99 = 19. 3^56 18 •7- 110 ■~~ 14. 9037 15 i'^. -7- 121 = 15. 7830 -r- 13S s^ 16. 5107 16 -T- 144 — rcf a|S .*^t «:Lt. iiiik'ilCi 16 14 Iff 9 7 7 1 11 10i>);^ 10 14 5 f .. • 5 15 111 f ,- 67 3 9i H ^ 59 6 6^ ^ 15 3 3 W 86 7 3i^> 29 12 1|4| 74 13 10 ^ 59 6 4i ^ a5 9 5 17. If 30 yards of cloth cost j£37 158. : what is the^Hce of lyard? Ana. £1 5b. 2d. 18. If 36 lbs. tea^CfplBt £9 Is. 6d. : what is the price ot 1 lb.? ^^ ^„,. 5s. Oid. 19. If 42 yards linen cost £5 Os. T^d. : what is the price of 1 yard? Ana. 2f . 4|d. 20. Divide JC25 10s. 5d. equally among 50 persons. Ans. lOs. 2id. SI. Bought 63 yards silk for i;i7 6s. 6d. : whnt is ^that per yard? Ana. 5s. 6d. 22. Bought 72 cwt. sugar for JC243 ISs. : what is that per cwt?(4 - Ana. £3 1ih9d. 23. Boij^- &4 yards calico, for £5 8s. Od.: h(>w mucHris that per yard ?;^, ']. ^j j 4«»« Is. 3id. 24. Solil 9^ sheep for £S4 168.: at what' was tliat a piece? Aria. 178. 8d. 25. 8ol .1)1 #■ ualil) >i*^t ;{>I¥ia -01 OMMMNO TnmTf 10. -4200 Itf 11 ~>r £0. ri^Wt 9 7 U-r- Sl. 'J854d 15 £2. ^teoo- «5. ifO^^ 7 £4. ^9714 19 a5i, ,1088 4 £7. 6307 15 £8. tiih 9 ^ 10 ^■■'^^ 0^ -r 1609 S£05 4070 5708 6915 7000 £ :;:r 8716 ji- igo7£ 4| -^ 50800 1 -r- 83014 -.."^ 29.s;What is cloth per jar4| when 78 jardj eptt ^^ 128. 6cl.? : ^ ♦^^i iinir. JBl 38. 9d. 30. Whfit i8 wheat pei qaarter, when 8i5 quarters eost ia25 128.6d.? ^n». jBJJ 138.1 d.JV '31^ , JUifidfia prize of J(^011 98. equally antpne 98 sailors. 3^. *^ If r spend JC70 48. in 2 years: how much is tliat per Iweel^^fj^ l^^:rv. ,h,..A^ .->..( r^r.' v-i 'ft.,»>i:-;' ilw8. - ]3si 6d; 33. if Jfbtt earn ^^47 2s. lid. in a^year: What is that per day t ^. Bottt ^119 gallons heer for £9 18s. 4d.: what was that Iperifallorir;^;; ' ■• Ans. Ik.Si^^^ ^3&',iJtfy yearly reqt is £^& ; how much is that per weekt' 36#f Ii6WniK<)h must I spend per day, to spend .£^0: ft |yeW:? ;.io-' "'■-. ,ntv '■ ^ :j' h-.; m;:--j. jiila*^' 16s. 5id. ^: 37.' '96upt 470 latrihs fol* i:i86 : li«iwiiiucK is that a piMet i^^ ^^ Arts. 7s.7Jd. J» 36<. Divide \£1 00 equally ai^nonff 375 poor people. ' , ^f'^ • '' k«..5s.4^ 39. Bought 1 cwt. p{ tea for J630 : what is that per lb. 7 ■ ': ■ -^"^^ •"' - ' ■\"- ■ ' Ana. 5s.,4|d.'i;- '46! mtt 74^ aorerojf wxld.land for 4^51 17s. 6d,,: what was [that per acre ? iifi#. 17s. 6<|. RuLB III. Wh#i ithe 'divii6r is also i com|k>Arid number* Ireduce b^th the div^r and. divideitd Ip: the Idlest ^kMimo |ii)entioiie(i»»nfl!diTi4e«>iB*ijPH4edivisiQ^4'; v' r.^ ;»^ OOMPOVIID 'UiVliMIII* ii mm ;■' if m ..!i. ]XYid0J6eSiu3d.b|j>Bf.4^ |||?id9li99;9t.|H^b|^if 1 llf*6|d. 19 «^ i J? m r:t ^l'-^'^ 6 d fiO - 1381 !l3 I — ?r- <» 1539 d. 9 1€9)61&6(38 Aoi. 486f ^ Iw 4. •6.: 1296 1296 113 n 52 18 11 5 45 11 815 10 .82 3 OTOf 1 li 90 ^ 31 19; . "378 r. 1515 «I5 (> 6 6 5| 6 2 10 12 1 3 8 i 17 6 2 4i 71 6 6 M i -^ \1988 .«>: i V 19 989W , . )g5445(6^ Ana. 4545 4545 45 AlA. 87 16 250 861, // • • • • <"•< •« • 4 7i^'! Hi>w much cloth, at i5B. 6^d. per yard, can I bafJot je95 119. 7id.? Ans, 123 jrardfr 8f rl^ow. fnanv dozen of wine, at jC2 2s. 6d. per dozen, can b^bouffht.for\£297 lOa.r , ,, ,^.,u^An^^^AOdozeni 9* How many efallons of brandy may oe purchased for j669^ 198. 6d., at IBs. 3d. per gallon ? Ans, 636 galioni. 10: The revenue^ lif ah hosiJital amount ' W JCT[807'8s. yearly: how' many boys will it maintain, if each boy cost ;B18 16s. 6id. t ': ' J^" * Ai»*.'^6 boysi 11. A gentleman distributed JC19 14s. 6d. among some piiilDr P^f^^t givifig ea^i^h lOs. ^1 ^d.^; < hiotf piany pour Wi^re .ifoerejf J r ■■;,:. j._ ' Ans. 36. l!^. If a man gain 2f3. 6d. per day^ and apei)^ lS|. 10|fi.: how^rnsny days must he labour to pay a debt of Xll 7s. 6d.t , An»,r 36^,. Jfotf. T^rCnihpound Multiplication ana Division, when the mul- tiplier or divtflnr coi^tnins a fraction, the rqlet are the »Vj^ as tjiose fi!lV6|»jfor Simple MohipHcaiion nHd DiWsibh.' ' ' ' J ^ £ B. d. £ 1. 748 13 7| X A| ;« 6963 15 191 9. 817 14 i 9i X 121 =: 10358 111 9» 5p 15 100 ;< 39f s 2|60 11 10) I iidHiTh ff. T. t. 10. 11. It. 1760 15, 4a 14. ^mW^K^^HMOVB CZMOIUfl EN TH« OOmOUHD EUftllU | Iw A pircon^s incoitoe is X96 a year, and he spends on •■ aTerafeXi 3s 3|d. per weekt how mtieh^oes he save yeaily^ An$. £$SikWA, \. Hoirnraeh will the waives of 13 men amoant to in 7 weeksrat'ls^ lOd. per day eaoht ^ •An»d£50la.^ 3. If scissors are bb^ght at 4s. 9di per doaen, an<2 rstiiled at C^d. per pair: how inmch is gained on 5'doiBenf Ans, 6s. 9d^ 4. « p. borrowed from, D. J^ISO ; of whieh he h«spaid atoM time je40, at another time j6I9 198. 64.^ at another d?l 6 Ss. 4«l.> at another 4^6 lis. 4d., and at another J630: how mueh hsf ho piUd in all, and >what remains to pay ? Ant. £1 13 5i. 2d. paid, M 14s. lOd. to pnj. ;.^< ' Piyide j63 IJOs., among;5,meii and 6 wOmAQ> jtnd^gifO fUelivmaiPilhriee the share of a' woman. < V r>y)' ^rf'^i^pHi- pi;' ,v.^vfv. -^A'* A man's share 10s., « woman's .3im44>; C|« b A pi<^ pf oMh, at !6|!M/4di..per yard, eott X18: 14ku : low many y9rdawere>in it? 4tif. 45yawl(|< 7a What cost Of gallons, at 19i« 7^ per gallon 7 . Am. X9 3s. 11|4^ 8. A gentleman's income ii,4f9^ : what sboald be his daH^ ezpmitea to save jCISO per annum? iin«. j62 48. 4^ 4$ 9. , A gentleman gave J65 13s* 4d. among 8ome potopettoto) giving eaich Gs. 8d.: how many were there f: An»»Vm] 10.. A workman , earned on Monday 48. 7d., on Tuesday 38. lOd., on Wednesday 5s. 4d., on Thursday 28. 6d., Oa Fridi^ 68* 2d., and on Saturday 38« ^ : What did his week's wteea amount to 7 '. ' 1 :.rJ' -i;' -.'? v^odrulAfi-? -j .i4i»t.' jBl-Gswld. , 1^.' A labourer earns 158. 6d. per week: how much |ho«ld h« epend per week, to save 4ill for his house font and oloUlM T -M* 4feafe"> ^' ' '■•' ''■■^r-'- V|(t4jfv^ . :. :,-'Am^ ll8.^3d^-^-' W MVomuunovRX ;iii! t't r i I'll ' i' I 19. M lerfant^haTing contracted a debt* of 3tQ 6i. 8id, allows l$d. ^r m^gH ttiiayia8^ 'sOt^kndi^very week Ibl Ihe ttatytiMtii oflt : l|i What^me #ill lfti8^V}auidl{le the debt?i rn • ^ fa - V»? iiin«J'80 weiks. 13; in 48. )>ur8etf^ each donttainiD|r a joanftes^fi moidbre, a half4fni|MB| and' a iialf-ctowni how 0ian|^ poundf T 3 ^^ V,' r. . ^ ^ri ;.;' alnf-rJeiSJ^Sf. 14^ If>,ia|;y9|d8 eloMi coat jes 178. 7ifi.: .what^ts th|i| per yarat :> ; . ;j ^i 4'»^vl28. fjd. IS^f Pivic^e,X394 Mt^ Td^kmong 5 meii and a j^jf,; and^give the bSp»r half of a man's share; •■.. '^ , 'S iAne. A man's share jC71, 148. lOd., the bo/a'iCSS t^f 5d. l^ A labourer's house rerit is ItS 13s. 8d. ^yearly : how much must he lay by weekly m order to pay it? Ane. Is. 5d. 17. ' hont'^mmi and^ received £m Mtum* imw Much is lftifhitf>to>) > . ;j ilii8.jC38dB.4d. > lir, What ia the ptrice vofri83f yards: of lAdift^ nankeei>«at Isiftid^iJ^.^ardl Ans. £7 10§. 5\d, f A9h ' A servant usant to market with li ten ipound n6te^6tnd bonghVas follows :— beef 19s. 5d.» mutton 78. 6d., laihbSSsl 4d, lieH^iliblea 9s»,3d>,se|rg8 dA.4d,i batter •I4a. 8d., cheese M8..4d.: holff^'milch'dtd she briog''home7».^ ■' ■> .4n8.; j64 ^68«.2d... >flftO." Bought 96 fiair of stock! t>|8 for>j619 lOr.: at wftat rate diBBlI sell them per pairvt0^gairiJ64 4s. 6d.^by themt • - -^ff^*-' 31. Paid. je88 13s. for n loio^'cloth mea8u^ng &9^ yantei : atfNiat^ate ditt I buy it^p^r yard} ^ ' i ^Aii9.*^£l 5s. 6d. -j^^ ^^<{3.' ^A ceitaiit perboM SilM if beware to'^r^s^nt eaidh of his grand children with threti hutf^doltars, h6 should s^iM ^lifitfy ;eJ^15«.? how manyhadhe? • ' ' > Ana. 66. ^*il3. -^ ba^khipt 4&oinpOimd«' Wi^i his iited\im tit ^138; 6d. pefOS^tTjiow iM^ch will W. receive, to wbOr!i>he ow^ j^25T ' fi4« ' 'A perHd^n Who spent at an average 18s. 4^d. perdayt lif|dfl63» 100. Itfst'yeariC'i^ifed his income ' ^'r / . i^ t'^ifS.-; At A public dinner, the'^bill amounted to jCI'OIOs., each pei^on pefy ing Ss. 6d. r lik^w mai^ dined ?^ *«i - AtiaJi 6(K ' I '^itSO.t'' A piec^of linen'eontaining 25^yaitd§, Was bought' for #1 ^8. 8d. : what was that per yard ? Aftis. 38» 6kl. !*ir0f^ A merehatttsdld AO yai'ds linen at 3i. 9d., but alH>wed & diacoifnlH>f''^ for cash: how much did he receive 'ibr^ Ihe Urnitl .^ ■ai^Y '-'^^H ./i!V,7.'ivq n^) •• : . j4ii#. je8 18s. Ijd. S8. After «b6 dsffth'^otii^^entletnan, it waif foand ^ti Hfi will tkat^he hMd left to his widow 4180(11, to his eldest son iiiicxLLAKMii«^MEiBioiiBi6 cliUdroiii ^ying each man double a womaiii and each wotnan triploA cblldT /,. /.,.,. . .•r.-„ '.••:» v-jU' ■11 V.V . v^ -'•«' j^ '^'>** A child's shaep, I08.5|d.V« woman's •aUaat, .7ii ,ato;i br. .i.Q -oJCl ll8..tHd.; a man'aahare^ i3 2s» 10|d. , 30» :. >A merchant paid j£89 6a; 54d. for 5 piedea of elothvclMh 25 yaids: at what must ha aell it per.;ardito.gauf» jGS lis. 6d. on the whole?; ' iu<' >-iAn9^.'l59^B^-^ 4 -31. -Jf A workman gaihs ever^ week ISs. 6d., and spends 10s. Hdw : how much does he iave ma veiir? Anm, fSM'Qa. M. 3J. li a man eatos 3b. 9d. per day, ^d i^eridi^ la; Bfdjt: how. muidi-tloca he lay hy in «>year 7u ilna^ JB^t 51. ^1. . d9i ^A eertain gentleman; Jaya iipevery year 4^94 l^M^,, and spends dally £1 13a. 6d. : I >df sire to know his aAiHMiil ineomibi lifi \lH'i* i .'- .'-> . ■■■.■ Jm ^i, iAM.\dB887 15s. ;34»i A :^ntkman*8i annual ineome was JC58C 18a..4d.i;his faoo^ehQl4 expenses in the same time amonnxed toJt^85 l^€di, hia rant was JIS65 16s., taxes £14 168. lOd, servanta' Wagia i»56 18s. 6d., ttade8roen!s acroutits £43 1^.9i^^andmcidehtal expenses £14 lOs. : how mu^fi did he save ? ' 'I ..W;y.kh3. . tAn8.£lOSetiiiB.k 35. : ReiielTed a goinea to pay an aAcpunt >t}f 16s. B^d.: what halaitoe have I to tetarn? \)m ivU> = AnM, 4i:Si^'X '3.6i rir|9^ ji^rds ooa| j68 7s. 7idU: what: is that! yer^yard^ii .:^'d\^] ^:^ .v^^'K ' yy:=Arml^lBmi,'jtrf 8 Ani, A. £34 88. 9^d., B. £39 17s. lOid , C- £35f 13fk V1H~ 40. A merchant patd £64 18s. for 388 yatda !«H(tb» whidi, getting-damaged, he is content to lose £1 138. by it : at what mutt h9 fell it per yard t Ant. 4s. 444* ^ .■>!:>f3r.> • • ^H ''. >M m I.J'K'v RMMIMM <£SS Ifle; €i^: ItaMf nMi ipmIm wHI hi M Ift tefiBt«ffitell4«rje58^f « iliMi 4t||it Umt J6843 16t. 8|4., B. owm X381 19t. 9|d, M4 a X4»7 lis. 7^d. : bow maeli 4o— D. oire^iinT ' Amt. £119 9m%6. 4S. How BMny dollsft, hair-dolltffp. tod ih m— i tw , —4 of «mIimi equal number,' »vif In J690t t»lr(!>/ mO Jiie. 50. 44. A mead went : to market witli a five-ponnd note, and laid ont on boleher meat 14e. d^d., on eheeee 8s. 5^., on^Wi Isk Sd., on batter Ji. 4d., on teii 15e. 6d., and on sugar '4to»9d.« bow ttueh mon^ ought she to have brought bomef '(•' - (t-< (^ -.f«. u; .siii ^ '/< jAiM. jGS Ids. 74.- 49. BMttiivd the priesa of SO horses^ ootttnf one with ■asiiier jeaa AOs. Old, eaehb^ jias. ije47t 15s. lOd. 4f^ If *|iereon's ineome^be 4s. 6d. per4airVandthiSeqpeBSSs ,j671 1& €di|ier Annum : how mueh does h»iaj up or Overt^end fMtiianum, and how nniefadoes be spend ^#eek^F't i'^. < • ^ < ' .> How milty lbs. of eotton wooli^ at Ss.^ 8|d., niaa^ be bongbt for Je43 6e.:3d. ; and how may it be eold per Ibi to wum £n OS. 6d. on the whole t Ams, 378 lb. SbM at 9s. lO^di :,si48l A merehant bought broad eloth «t 9Si. Od^ per 111 littglieh : hoii^ may he retail it per yard to dear td. on. evpy ahilUng^whicib itoeathimt ilas. 21s. ,'.49. Boiighl' 34 pieces of oloth, eaobieontaiitiof 80 tardsifor J68dO 17i. 6d.; and told 400 yards> of iC, at S4s. 8d.jMir ]fiu^ : iMw^nust I Mil the lenuUnder per yard to gain £84 SSiL^'Od. iqMaithtt<#hole7 yias. XI 7s.'0d. ^^ >^ milA OF parcels; OR ]ftJ^OICB&VW|^ ^' ill^ 1^1 'of Pareefii or ftfiyoito^^iS an aeib^ni of gjoods^ i^fCP ^^mM b0iighti; shOwiiig ih^'qblmWty atid price. -4ii^ v4i^^ . Wife- ,au#|^c,Juj(y27tb^|$44. ]fr. Chnstian Hoffmari, J B#oght;of John MasNldeni Ml yards I^wn ..•i.............-^-..... (®'2s.8w '.••■..JcO Iv- ^^>yaida Sh«lloo»...*.«..'.^....i.iv....^# Is. 74 , m... 0~ l^l' S yards Serge (Q UiQ^A,.*\i 13 H ^jM^ £iee ■}.*J.4^».^^XJ4^s,J((9' 1b, 44. -^^.-.X- 4-^ 19]^irdililMliif.^....,....i.].^r.^J..w.^ 5i^3d. ^r^v.. , 3 # H »)i i. -iso;. ot Js*- "».'.•.. ) ,t>>xv»K-<.;^.4iij .bU- >i f'Ui v JOB W' 1 'aPHA life MtiA WttlUb It, Mid tf Inf. 50. neiU, and ftrte*9d.€ lOi. 7d. one wilk Si-lOd. «Mn|Md Lon. evaiy III*. Slf. rjrardt^ior 71. 64 '^i^' *!' 1 13 81 4.14) 8 1. Miff Oooialodi, ;.,«^ .41 Bougli^for HttKry WlMMfMk. 15 ytfdt CMnMe m. f9 8iu3d ...... ;S 9 jtrdt Satin ..* O 7i. iBd. 34 yardi Printed Calieo ,o...i.. O lf.4id 11 yurda Flowered $ilk O ISe. Od. <..... 43 jarde Irish Lioe^ (® 3a* 9d J697 10 6 Montreal, Augnit lit, 1846. 9.. John Qreatinan, Esqw Bought of Meters. Molsbn & Co. ' ...je 36 gallons Rom ......... (Q 14s. lOd, 18 gallons Brandy (Q 18s. 6d. 7^ gallons Malt Aqiia,.^ (B 19s. Od. 45 doxens Port Wine «.,. ........ (Q 30s. 6d. 94 dosens Lisbon Wine ......... (S 28s. 9d.' 10 dosens Monntain Wine*..... (9 90s, Od. £160 19 6 3. Mr. Timothy Trusty, Bought of 6. &>](. GouinlQck. 5^ yards superfine Black Cloth ... <® SSa. 6d. ... £ 12 yards superfine Spanish Blue ... (S> 30a. Od. ... 8 j^ yards fine narrow ditto ... .O 9s. 6d. ... 17 yards Drab Cassiniore......f..... fS> 68. 4d. ... 4 lbs. Young Hyson Tea (3> 4s. 9d. ... , , 195 lbs. Refined Sugar ; O lO^d- - 0637 6 0^ 4. Mr. James Ruthven, Bought of William Oliver. 114 gallons Malt Aqua fa) IDs. 6d £ |l3 gallons Rum (a> 18s. 6d |l2 gallons Hollands (of 24s. 6d. ...... 9 gallons Brandy .,.....*...,* 358.64* ,....^f:, 15 dozens Port Wipe............... (S> 42s. 6.ii.«y.\.... O .39s*6d. «..;. jeil3 10 6 iiLi>*' iW" 1^ ; I ■■ t-f' 5. Mr. B. PanoMf BMl|iitofMj« RdthVMl. ^ 17 vMUBi large Ihiek PMt.. (9 41t. 7d ;fi n rMmi imall thick PMt ...... (9 SSt. 9d. ...... 18 rMini laperfine laid Foolioap (9 90t. Sd. *..... 16 raama eoloured qaarto Poet... (9 25a. 8id....... 18 raami wova Poat (9 84a. ll^d. ... 91 iMOia common Cap (9 19a. lid. J6150 1 11 Toronto, 97th Jalj, 1846. 6. Mr. Henry Wiltiamaon, Bought of J. dp W. Allan. 974 yardi anperfine Black Cloth ... (9 918; 8d. ..'. ^ 171 yarde BlaeCloth.'I (9 93e. 6d. ... . 15| yardrOliTe Clotli (9 14a. 9d. ... ^ 93| yard! Mixt Cloth (9 17i. lOd.... 34iyarda Black Caatiiliere (9 6f. 44d.... J604 9i 7. Mr. J. Anderaon, Bought of W. Batea & Co. 134 Iba. Green Tea 17| Iba. Hyion Skin........ (9 96| Iba. Souchong (9 19} lbs. Pekoe ....l..^; (9 97 Iba. Raw Suffar (9 35 Iba Refined Sugar (9 9a. e^d £ 78.34d SsMlid....... 108.84d 8id. ...... llfd. ...... - je37 13 10} 8. Mr. William Brown, Bought of John Fiah'er. 56 cwt. Raw Sugar (9 54s. 8d. £ 99 boxes Oranges r® 448. ll^d. ... 5 boxes Lemons .................. (9 53s. 44d.....i. 150 Sugar Loaves, each 1341b8., f9 10|d* per lb.. 1 tierce of Molasses, 59^ gals. ^ Is. 54d. per gal. I c^t Black Tea,B74rb8. (9 4s S^d. per lb. ... !>:v< ^£343 4 5\\ II ■nij Of >nMM yw» f m 9le8 74d. —Fish 2s:;.. ::..:^..I.... Paid for 1 gal. Rum 78. 6d. — Mustard and Pepper Is.................. ^ Received fpr the boose Paid for Potatoes f^s.— Milk Is.— Postage 3s. ^f.'..' Paid for Tea 78. 8d.— Bi|icui)is did.— 1 Broom 28 „,„'... Cash on hand • ..y as many of the lower in make one of tiie higher. Xii. When the higher number does not contain an exact number of tlie tower. RoLB. RjEiduce the given name to some tower one contained in tint i^ec|uired, then divide by aS many as will reduce it to the required name. Note* The following questions are answers to each other. 1. Reduce JC738 to shillings. 3. ' Reduce' JC481 to shillings and pence. 3. Reduce jC728 to shillings, pence and farthings. 4. Reduce jC74 17s. 9^d. to farthings. 5. Reduce j£83 7s..; S^d. to half-pence. 6. Reduce 321 guineas to sixpences. 1. In 14760 shillings', how many pounds ? 2. In 1 15440 pence, how many shillings and pounds T 3. In 698880 farthings, how many pence^^ shiDinge and poondsT ; * 4. In 71893 farthings, how many pounds? 5. In 40035 half-pence, how many pounds ? J^*. In 13482 sixpences, how many guineas? TROY WKIGHT. 1. Reduce 5698 lbs. to ounces and dwts. 2. Reduce 674 lbs. to ounces, dwts. and greins. 3. Reduce 29 lbs. 3 oz. 5 dwts. tO dwts., 4. Reduce 72 lbs. 8 oz. 6 dwts. 16 grs. to grains. 5. Rcflttce 65 lbs. 9 grs. to grains. Iv J 1367520 dwts., how many oz. and lbs. 7 2. In 38^240 grains, how many dwt. oz. and lbs. ? 3. j In 7025 dwts., how many lbs. 7 4 In 418720 grains, how many lbs. 7 ' 9. . In 374409 grains, how many lbe.7 % 1. lUdae6 9361b)i;t6«iiklete,dramiabdWiiqpiM. 9. ftediice 365 lbs. ti», 5. In 322566 grains, bow many lb.? 1. 2. 3. 4. 5. 1. 2. 3. 4. 5. i. 2. 3. 4* 5. 1. 2. 3. 4. 5. 1. 2. 3. 4. 5, 1. Q. - ATOIKDUrOIS WBIQHT. Reduee 572 tons to cwt. qrs. and lbs. Reduce 79 cwt to qr. lb. oz. and drams. Reduce 23, tons 16, cwt 2 qr. 13 ib. io oonces. Redaee 4 tons 17 cwt 17 ib. 15 oz. to drams* Reduce 27 cwt 14 lb. tp ounces. , , In 1281260 lb., how many qrs. cwt. and tens? In 2265088 drams, how many oz. lb. qr. and owtt In 854096 ounces, how KAany tons? In 3785776 drams, howiaany tons ? In 48608 ounces, 1x0 w miuiy cwt ? •< MBAsuKB or oA?4ornr. Redaee 51 qrs. 6 bus. 2 pks. 1 g&!. to gallons. Reduee 79 qrs. 7 bus. 3 pks. 1 gal. 2 qts. to qoarti. Reduce 37 bus. 3 pks. 1 gal. 1 pt to piiiti. Reduce 82 qrs. 2 bus. 2 qts. 1 pt. to pints. Reduce ^6 bus. 1 gal. to pints. In 3317 gallons, how many^ quarters? In 20478 quarts, how many quarters ? In 2425 pints, how many bushels? In 42117 pints, how many quarters? , ^' ; ■ In 1672 pints, how many bushel* ? LINBAI. MBASURB. Reduce 126 miles ^ furloni^ to poles. Reduee 76 mikd 5 furlongs 26 poles to yards. Redaee 20 miles 7 fur. 12 pis. 2 yds. 2 ft. to inelMib. Ri»dace 5 lar. 34 pis. 2 yds. 1 ft. to lines. Heduee 18 leagnes 1 mue 3 fur. 18 pis. to Ibtt In 41200 poles* hoar oMtty miles ?• In i;950a3 yards, how many miles? %, lBl8853Sd lov mMai$ nalitl m f^ 4. 5. la 533333 lioM^ kmm vmnf Anlmfi ? In 39l|S|^7/felt bow nikn|^.|^g|i«a t •'> i- ,>> It 3. 3. 4. 5. 1. 3. 3. 4. 5. 1. 3. 3. 4. 1. 3. 3. 4. 1. 3. 3. 4. 1. 3. 3. 4. o Reduce- It acres 3 roods 5^4 poj«8 to square yardbl. Reduce 43 acres 13 poles 13^84; yards to square feet Redoee 3<^ieres 1 rood 33 jfiolies 14 yiirds 9 flBet'lb leet. Ridbee 7 itiiret 16 poles* 36 square yttrds to squarJB yards. In 133t4 pdles, how many acrest . In 85436 square yards, how, many acres? ^ ^ In 1876455 square feet, how many acres t In 1153393 squarafeet, bow many acres? In 34390 square yards, how many acres ? • ^■ ClXnrH MBABI7RE. ' Rediise 45 yards 3 quarters 1 inch to inbhes. | Reduce 36 yards 1 inch to inches. U' * Reduce 71 English ells 4 quarters 3 nails to haw. Reduee34 Flemish ells 1 quarter 1 inch to inches. Reduce 75 French ells 4 quarters 2 nails to nails.' In 1648 inches, how many yards ? ' In 1297 inches, how many yards? In 1439 nails, how many English ells?' '« In 658 inches; ..hoii^fnany, Flemish ells? In 1818 nails, how many French ells ? Reduce 334 chaldrona tOiSacks and bushels. <^ Reduce 905 chaldrqns to sacks bus. pecks and gals. Reduce 81 chaldrons 8 sacks Sbus. 1 peek to peeks. Reduce 37 chal. 6 sac^s 1 bus. 3 pecks 1 gal. to gallons. In 8434 bushels, how many sacks and chaldrons? In 360640 gallons^ bow many pecks, bus. ska. and chal. ? In 11769 peckS):how many chaldrons? In 7935 gallons^ how many chaldrons? CUBIC, OR SOJLI0 MEASURE. Reduce 136 cnbie yards to cubic inchei. RedueiBr85 solid yards 17 scilid leet to solid inchoi. Redoce 59 loads pf hewn timbier to solid inches. Reduce 39 tons of shaping to cubie feet. In 5878656 cubic ini^es, how many cubib yardtt In 3995136 solid inches, how many soKd yMrda? In 5097600 solfd in^ hpw many loads t>f Kewii till] In 1818 cttbin ibeig h/m mwnf UnA of sbilipiiii?!^ »«?..,ilt r>iJIBM6f1K»|r, AX,^ 1. lUidaee 36 sp. 3 bks. 4 iki. 26 thdt. to thrMdt. 9. lUdace 7 ip. 13 hks. 5 iks. 39 thdt. to inoheC^ 1. t' In 364106 threadf , Kqw manj spindle* t 3r In 4196836 inchtt, how mamjr Bpindleif FLaZ TARil liiCAtUlll. 1. Redaee 34 sinndles 3 hep. 3 beers I cut to threads. 3. Reduce 81 spindles 36 incnes to inches. 1^ In 199560 threads, how many spindles 1 2. In 41990436 inches, how many spindles f ' MOTION. ~ 4. Reduce 8 signs 16<> 36^ to minutes. 3. Reduce 9* signs 31<> 17' 14'' to seconds. 1. in 15386 minutes, how many signs ? 3.' In 1048634 seconds, ho\7 many signs? TIME MEASURE. Reduce 1 Julian year to hours. Reduce 1 leap year to minutes. PAduce 1 solar year to seconds. V lace 181 days 11 hours 18 minutes to midtetee. l^iluce 168 days 16, seconds to seconds. In 8766 hoar«, how' many Julian years ? In 537040 minutes, hbW Wiin^ leap yeafsr In 31,556,928 seconds, how many solar years - In 361318 minutes, how many days? In 14,515,316 seconds, how many days 1( The following questions exemplify the 3rd Rule : 1. Redttbe 138 English ells to ysrds. ' Reduce 555 Flemish ells to English elli^i Reduce 314 half-crowns to shillings. Reduce 216 moidqres to sovereigns. Redcce 810 angels to Joanneses. Tteduce 864 maHks to tJiilUngs. Reduce 904 lbs. troy to lbs. avoirdupois. In 160 yards, how many English ells? Itt 333 English ells, hoW mahy Flemish ellf f In 785 shillings, how m&ny half-crowns ? 4^.; In 391 sovereigns 13 shillings, bow manjr moidoribB ? 5. In 335 Joanneses, how many angels ? 6. In 11530 shillings, how many marks? 7* ht 74^ lb. a?oirdiipir^040 fmins, how «Mif lb. tisy 7 «*1. 3. 3 4 5. 1. 2. 3. 4. 5. 3. 3. 4. 5. 6. 7. 1. 3. \^ *b ii; nunr ira^ttr. aiotb. wibiobt. ' . atoir. wnoar. : >i Ik. M. tfwt. A. ' ^'''ar.-'ibS |lk''''^''i '^'JBWt.'a«^'^lP^««. i IT 8 16 13 H^ 16; ** 35 I 34^13 iUk; 85 5 17 81 85 3 19 74 3 16 10 Hii 84 10 8 18 47 6 3 15 33 8 6 Wii 78 T 14 r 70 1 t 16 1 30 15 Ki ^7 9 13 19 36 5 3 17 18 3 15 9 IK 63 4 19 14 93 4 1 6 65 1 9 10 gill 5P. 6 5 33 38 3 13 57 14 7 |l|ii ^; '" J i Hj! ' umuL ifiAim. ' . orxyra MCAfuii. 1 iilii oNk tu, DO. ydf. 'T'jIm, qr. na. in. i It -74 6 37 4' .73 1 3 1 ; Ii 16 3 31 3 49 1 3 1 If 85 1 16 1 57 3 1 87 4 10 85 3 3 1 1 i 60 7 38 5 :' 16 .13 .- ; 1 89 15 3 30 1 1 |||l|| 95 6 18 3 17 d 3 3 (•) savABB MBAdirr^. M. ro. M. ydi. 38 3 ;34 4 76 1 137^3 65 3 16 1 59 ft 30 ; 5 80 3; 18; 36 1 31 4 95 3 ,13 3 jl||! , ' ,, . ■■■■■, / ■ ' ^""^ ^^ V SUBTRACTION OF WEIGHTS AND MEASUBES. \Wpt:i nmr w^Kwr. ^ . . atoi«* wxioiit. - umvAi. lUAim. 1: 1 * lb. Mt. dwt ir. tool. ewt. qr. lb. po. yd. 11. in. 95 3 13 10 70 13 1 14 31 1 1 ]1 38 10 15 81 19,16 3 19 16 3' 3 9 ;h ■ '" ■.. , ...■■:. ' . ' 'i' Hi-. '. : . •OVABB MBAiDMC. MBAMniB QV OAIAOITT. H 70 ^ 14 3 64 3 3 ^11 48 ■! 37 5* . 17 3 : 1 5 .. -.■,..' •) ■WMOCH. ji- yds. 4 27 .3 16 1 30 5 18; 21 4 ,U 2 1. IQHkiiM; uAtt 9fp.L X 8 2 K 99 4|ii«ie. 9b(k SlpiBir. 3yd. f X 45 ft. 63biia. 2m. lieaL 6pt». X 6$ &85ilft.9ko.s25mL9ieo. X 84 y , > '> . DIVISION OP l^EIGHTS 1. 63iBwt Iqr, 231b. l3oz: ^ 6 = 2. 7$«c. 3ro. 19po. 44yd. . -r 9 = 3. 69bii8. Ipe. igal. Spti. -^ 24 = 4. 8i^b. 9o«. iliwt. 18gr. -r- 84 = 5. 97mi. 3far. 35po. 3yd. -r 6^5 = ^|3^% IJho, 45mi. 3Qi0o. -r 73 = 1481b. &Mb' udW% A60K>ii: MieOBLLANBOUS EZBEOI8V0. 1. Ih j6M, how nitoyehillitigB, grcnats, peiiejB, aizpin^ee andh&lfipenceT - ' ' ^ ^ f < Afi»u 1020a. 3060 Kf^^Ui240d. 2040 eixpv 24480 ha%. 2.' Ildv large ia an eatate conaiattng of 10 farnii,;eaeh iiiCiit8#i^jg:''Up^ ; . . Ana. 33584 times. 15. How tnany smaiV enclostires, eaii^ 8 ac. 2 ro. and 27'pei'., can be made out of a common containing ^260 acres and 10 poles? Ana. 30 enclosures. |,6f ijFIow many spoons, each 2 oz. 6 dwt* can be made out • of ail' old silver vessel, weighing 5 In. 2 oz. 2 dwt. ? Ana. 27. 17* In jC26, how many doUars, half-dollars, and sixpences, and of each an cqpal number? An*. 65 of i each. 18. In a puncheon of rum (84galions), how mepj gellons, quarts and pints, and of eacl^^n equal number? 'i';w . Ml. .'J. .(.'?.,%*/:'.,. . ,uliis. dlA-ofeaoh. 19. What is the weight of an £:nglish>hiliing, lib. of sUver being coined into 66 shillings ? Ana. 3 dwt. 15^ grs. ^..; What if the weight of a sterling sovereign, 1 lb. of gold being eoined ii^to 46^ sovereigns ? > Ana. 5 dwt. 3}^ grs. Mi 'Light runs through the space of 1000 diaimeterffof the ewrth in one minute: how many yards is that, sl^posing Uie diameter of the earth to be 8000 miles? "- ' Atta. 14.080,OOOiC(00 yards. 22. How-meiny yckrds of cloth, 8 quarters broad, will line a |iiece df tapestry that is 24 feet long, and 8 feet broad t^ -^ Ana. 10| ji^rdi* - 23. In 20 guineas, and the same number of half guineas, quarter guifieas, crdwns, habere wils^mt 'Shillings rh^w many hair^pdttce? ' '^ Ana. 21720 half^{>emicl. t^-^ \Tym men depart fiPcMn the same place, the 6lie goes distKslljf^ nefih' 14mae8 per day, the other south 22 miles pdr ^f « bow fttf aMitikej aSttodeeaMi Uie.d4th day? '•i-F > -fi \ .Hiiii.964 , 9ft AifMitlenMa'i b Mp Bmm^ mr»on —f wrimg^ JCl 14i. ^li. pitfliijrrllvMr ni«ijr»4ayi«9iU ^£680 7«k 8H "><^M liia «ipMi- dkore^l^ ■ ^m-'Pt v o-* ( t^v •■■.-*« frp ;.- >-■ ^ «.;- , * . •. .jlii^ 366i dtglk ■ 97. WiMt is tteriifRivtecd btliTMn lO'iqmiiie mito* «ld lOmibs oqHiireT U;; .tti iilnt. dOtqaaranilti. 28. ' In general, a to^Aship in Canada ti IS iMtcli Bqniftt t iiow many acres are in a lownshipT An». 92160 acrea. 29. One day, to my surprise, said a youn|f lady, I found my pocket expenses smco the Jst of January, amounted to £15 10s. ; now grandma' allows me only 7s. 9d., per week for pocket money ; pray tell me on what day of the year I made this discovery, und how many weeks after the Ist of January T t-jT • i^, . , Ant. October 7lh ; 40 weeks* 30|» How many lbs. .of silver in 2 dozen dishes,: each diA weighing 25 oz. 15 dwts., aiid 2 doz«n plates^ each 15 oi 15 dwts. 22 grains ? .^. Ans. 83 lb. 1 oz. 2 dwts. $■ . aUKSTIQNS JTOR EXAMINATION IN THIS COMPOUND RULVS AND RBOUCTION. What is Compound Addition ? How do you place the num- beni to be added ? What is iQompound.. Subtraction? Do you pl«ce the numbers the same as in Addition? What is Com- pound Multiplication ? When the multiplier does not exceed J2f how do y^u multiply ? When the multiplier is a comppsito jutttber, what do you mutliply by? Wheh the multiplier 19 not a composite number, how do you proceed ? What is Compouttd Division? Are not the varieties of Compound Division sinliilar to those of Compound Multiplication ? Yes, and thev all pfOV *f Ihie ineieara f '. Stfieat flmn MeMBPit'^' Wliht ii the me of eqaaie nieaeare 7 Repeat ^nbth JHeatim. Feterbat ki it uMdt Septet TkneMeaame. What ia meaaiiBaAhytitT Repeat the 19 calendar montha. How do y^iemeintier the number ol daya in each? > >. , PART III. SIMPLE PROPORTION. Fear «nimibori are proportional, when the flrat oontaina the' ■eeond «i often at the third contains the fourth ; or when the tot, multiplied b^ any number, containa the second Is ofV^ as I the thiid, Biiltiplied by the same namber, contains the fottfth. Hulk for statimg. i The three ipiven numbefs must.be placed in one li^e. First, write down the gi^en ^joantity of the thingf sought j that is, of I yards, if yards be sought ; of money, if money be sought, &c | If the namber sought is to be greater thttn that written 'ddwn, idaee the greater elf' the other two towards the right hand ; bat I if it ia to be lesii, place the leas on the right hand of the otbtr. ' mtrLB.rba w6rkino. . ' '^':- The two like terms are first to be reduced to, ilhe (same m^, an4 the 0|her to the lowest na^me in it Then mttlCit>ly the two right hand terms together, and divide the product by the left hand term $ the quotient will be the anawer of the same name with the term first written down^ or of the name it was reduced to. If 19 acres of land maintain 16 horses : bow many honMs ^will 97 acres niuntaiii 7 IMW. : 16 Write 16 horses first, because horses ora sottfj^i ; and aa 97 acres will main- lain moie horses than 19 acres, writ« Hi^frofiter, 97, towards the eight of 19. M. •e. 19 : 97 * ; ; V 16 169 97 .r: In^tbis question 3 divides 57 down to 19, and jC55 4s. 4j|d. to J018 Ss. Hd.; agaioi 19 diyides or oancelp 152 to 8; hence |£l6 8s. i^d. multiplied by 8 niust be the answer. ^Always draw la hona;ontal line. through the %ures you pan^CjsL: , , » , ''* yd.- . ^1 57 : 19 yd, , jB ■• 152 : : 55 4 8 18 8 d. Ans. JC147 5 A man's yearly wages are |jC37.48. Id. : what are th^y for TSdiys? days. 365 5 days.' 73 37 i. d. 4 1 Ans. £7 8 9ii Here 73 cancels 365 down to 5 ; hence J637 4s. Id. divided Iby 5 gives the answer. yd- What will 108 yards doth leorae toj when 48 yards cost LeiS 12s.4d.? 48 4 yd. 108 9 £ t. i. 15 12 4 9 i {•: 4)140 11 Ans. X35 2 9 liere 12, eancels 48 and 108 down to 4 and 9, therefore j615 12s. 4d. multiplied by 9 and divided by 4 gives tbe answo? ., w m III I s. 181.? 5. e. 7. | 94. What la the price of 57 eUa English, at £i da. 3d. |»r 96jriiirdat iln*. X4 3s. UdL „ 95. What ia the price of 12 piecea of cloth, each conitainmg 951 yarda, at £90 48. 8d. for 47 ells Flemish 7 -ins.. 175 19s,10d.J4 96. What is , the price of 56 owt. 3 qf»* 14 lb., of sugar, alt 15s. 4id. for 1^8 Ih. 7 Ana. £SnHi la. OH^^ is 97. What is the price of 3031 gala, of beer, at £4 6a. 7d. fo/ 54g«la.7 iijia. je949 198. 10id.f} 98« What ia the price of 907 acres 15 perches of land^ ml je96 178. 6d. per acre 7 An*. 5565 198. 10i| 99. What ia the price of 17 gallona of oil, at ^637 16s. for 84galk!n87 jins. £7 iSi. 30. What ia the price of 574 gals, of wine, at £4 Ss. 6d. for 49 gal8.7 iina. je48 6s. 5d4 31. What is the price of 7 ewt. 3 qrs. 18 lb of sugar, at 41. 4H for 11 ^^'f ^n«- £17 12s. 4^6^ 32i If 43 yards superfine cloth cost £64 7s. ^. : how mmv(j yards may be boa^ for £193 2s. 6d. 7 Ans. 1291 ' 33. If lOi yards TcWeteen cost £1 lis. 6d. : what will 97| yards come to7' iln*. £4 38. 3d. '''' 34. If 7 cwt^ 3 qrft of tobacco cost £86 168. : what will 93 ewt t or. come to 7 ilirs. £260 88. 35. How much will 3^ stones of cheese c^6me to, at £4 13s. 4d. per ewt. 7 An9, £2 Os. lOdl 36. What is the price of 7 pieces of silver, each 4 lb. 15 dwi, at £18 18s. for 72 ounces 7 Ana^ £89 1 Is. 6|d. ' ' 37. If 4^ men perform a piece of work in 108 days : in whfii'' tihie Will ' 72 men do it 7 ^ ^' * ^ -^^ ^ Ans: 63 days. 38. If 57 masons build a house in 156 days : in what' time will^^7 masons do the same 7 ilns. 240 4f (days. 39i jEIow many yards of broadcloth, at l5s. per- yard, ats equal in >alue to 24r^ams of paper, at l^s. 6d. p^r ream 7 '■■'■ Am, 28yftrds< _;i]jli]H % iMOf qaUlt ean I,|»Tt 1900 earried for Um mom BMMi^t "4t* If 19 men eonf^nio • Mrtain <|aaptHy of piofifioiit in 15 ^yii how long will tho fame qaantit/ aerfe 20 min at Uiat niiit ilfit^ddaya. 49. If 136 maMM ean build a fort in 96 daja : how mai^ BQit be employod to finiih one equallj strong in 8 dayi t Ant. 476 maaoni. 43. If 98 reapera finiah a harreit in 36 days : how many reanerf will do it m 9 days 7 iina. 112 reapers. ii/,"^ It 18 men mow a meadow in 4 days : how many Will mow k in 9 days 7 An$. 8 mowers: 45. How many lbs., at 9s. 9d., are equal in yalu^' to 110 lbs. at4s. 6d.7 Am, 180 lbs. 46. A botcher buys a pieee of linen, me%iuring 96 yards, at 9i.^ 7d. per jraid : how mueh beef, at lOs. 8d. per stone, roust he give in return 7 Ant. 6 st 4 lb. j^ ' 47. If 9Jg yards of broadcloth cost £1 2s. 9^d.: what Will 33| yards 6f the same cost 7 Ant. jC25 9s. lOd. 48. If I lend a friend £100 for 1 2 months : bow loilg should he lend me £150 to requite my kindness? Ant. 8 months. - 49. A bankrupt's debts amount to J65130, and his effects to ii37S9 18s. 9d. : how much can he offer his creditors per £7 X" .i r, > , Ant. 148. 6^d. 5f,: A bankrupt owes his creditors £4678: how much will he pi^ them at lls^ 64- per £7 Ant. £2689 17s. 51. A bankrupt pays his creditors 13s. 4d. per £, paying thero in all £490 : what was his debt 7 Ant. £735. 59« A garrison has provisions for 10 months, at the rate of 16 ounces to each person^ per day : how much may be allowed per 4ay, that the provisions may fast for one year 7 ' Ant. 13 oXf 6 dwt 16 gr. 53. At 15 oz. per day for each man, a garrison's provisions will last 8 months : how long will they last if each man is alk»wed only 12^ oz. per dav7 Ant. 9 months 18 days. 54. If a garrison of 1000 soldiers have provisions for 9 months: how many must be dismissed that the same provisions n^^ last 15 months 7 iin«. 400 men. 55»^ ^ov much carpeting, yard-wide, will pover a. floor, 25 feeilptig and 18 feet wide 7 Ant. 50 yards;; 56. If it cost £26 28. 6d. to floor a room 30 feet by 99: what wilUt cost ibr one 24 by 18 7 Ant. £17 2s. 57. How much tea. at 48. 8d. per lb. ought to be ezchanged for 140 lb. at 6s. €d. 7 Ant. 900 lb. n*. M$. Vikt vmB of R 4»mUm\ batenes kt li iaolief and IH inehei rtapee(iv«Iy : wb»l weif bt on tho oiwntr md will bak^tt 46 lb* 90 the longer i Ant. 48 lb. ^, BiMppoee the arme of a deceit ( baluMO bo to each other at l»i to 10, and suppoae a wairbt of 35 lb. henge from the and of the shorter arm : what weight hang from the end of the longer arm will produce an equilibrium 7 Ant. 33^ Ibw 60. If muslin | yard wide cost Ss. 6d. per yard : what should be charged for oloth of the same quality i yard wide 7 Ant. 4b. 6d. 61. If a retailer has 3d. or profit on every shilling he drawi» to what extent must he deal to clear jCIOO f Ant. X600. 62. What is the interest of 471750 for a year at 5 per cea^ per annum 7 Ant. £81 lOs. 63. What is my commission on £256 18s. at 2^ per cent 7 Ant. £6 8s. 5id. } 64. , What is the brokerage of JC255, at 4s. per cent. 7 Ant. 10s. 2id.} 65. If i;425 gain X20 3s. 9d. : what is the rate per cent, t Ant. £4 15s. 66. A traveller walks 24 miles a day; and e^'^er^ he has advanced 42 miles^^ another follows him» who walks 32 miles a day : in what time will he overtake him 7 A^it. 5\ days. 67. If a stick 4 feet 8 inches long casts a shadow of .5 feet 10 inches : what ^, the height pf a tower whose shadow h 135 feet 6 inches 7 > ^^^ 100 feet 4^ inc'ies. 68. A boy flying his kite With 384 yards of string, tied the end of it to a peg on level ground, and found that a knot 6 feet from the peg was 4^ feet from the ground : how high waa the kite? Ant. 288 y'ards^ 69. A farmer borrowed 192 quarters of wheat, when the price was jC2 58. 6d.: how much should he return in quantity when the price is 4^ 2». 7 : if*.:; ^ns. 208 quarterat 7Q' If 20 acres of land, worth i!l21 per acifc» be exchanged for 35 acres of other land : what is this last valued, at per acre? Ant £12 per acrf. 71. The shadow ol a cloud was observed t . move 36 yarda in 5 seconds : what was the hourly motion of the wind 7 Ant. 25,920 yards, or 14^ mjles. 72. If a hare start 120 yards before a gioyhound, and run 6 I yards whilst the dog rUns 8||: how maiy yards must the dog Iran ere ho catch the hare? iint^ 408 yardk. Tha dog gaina2^ on every 8^ ; beaee as 2$ : 8^ : : 190 i406i 73* A. and B. depart fnm the same plaee, aod trawel alnpg Ithesamaioad} but Areola q«I 5^^a boforo ll.» gpisf ^at Ihi 00 oAMvomtt'iioMBnoii* wmk of 15 nifttt fir4uf } B. Mb^ «t Ui4W« of 99 dky^ whit diolono* mini He m?tl to oK^«k« A.? Am. SOOtinkk. 74. How imrcli Hloth, 9 qrt. wide, maii ^e gi fen fei^ 9U yards of e^ottl gOodnesft which it 5 qre. wide 7 ^ Jln«i ISlQ yardi. 75. A: ha» cloth at 48. 6d., which be wants to bartef with B. for 84 yards at 78. 6d. r how many yards mubt A. f ivcT? Aiw. 140yardil 76. If the carriaflre of 60 ewt. foir 120 ihtkstf be X15 lOs. : how far may I have SIO ewt carried for the same money ? itit*. 34f milet. 77: Bartered 64 yards linen, at 3s iSd.' per yard, for 129 yards eotton : required the barter price Of the cotton 1 ' S Ana. Is. 4d. per yardi 78. A. has tea worth 78. 6d. reardy moneys bbt in barter n^ill have 9s. ; B. has oh>tii worth 28. 6d. ready money : how must B. rate his cloth to be even witlt A. ? Ant, 3s. per yard*. 79. How many yards of cloth, at 7s, 6d., oughi to be received for 7 pieces, each 108 yards, at 58. per yardT Ana. 504 yards. 80. How mueh clhat like the I numl^'souglit, ^^ lowest iiaiiM in if^^^^ liulf^iply the terms below one anotbee successively, whieh I '^ temt^ thtem to three \ then woik as ' in simple proporlifli; ifta$pe«k^W wheat serve a family o^ta perSodi Idr42 days: ^ " Will iQ peeki ^( ii str#t a flrmily df 6 pefBens>T ' ^ li ■j'Jt' Bayi are amifbt, write 23 dajrt Arst ; now ai 30 peekt will teryp l4 . _, '- . '. 4 ^ 4 X 10 X 2 rsSOAoi. . ( d ■;if "'-:? »' rU ' '■ • :• Hel« s^h cancels a60 down to 4, — ^b30 cancels b3Q0 to 10, •^6 caneds c6^^-d4 eancds d8 to 2i~^3 cane^a el2 to 4: -i'^ce tlie reknainihg^ divid^pds 4 1& 2 muItipriJeid tof^titelf givei ffio answer. Carefully reMembef that one diyisor iHtut not cancel another divisot> nor 6ne dl^dehd eindel'anotlier dividend, but 6il4 of the lumbers ttftist alWayft.b^ • ^M^f^ fH o^ a'dtvidehd ; and^ali^iy^ d^#f fine'tlpiglrtM fdsim yoii^ti*n««rin both ditftiW^fid'aivldifti^ *^/ HjWIt >fl» f^^^u <• (^Mfvtipai^^fRi^iffftfiiiti ' m WM ■.■'}tfi- if;8jD0Q>^e^«8 of,^^tocko{ 11 theeto ^ireqatre Mnama of Cp«r: how m^ik) papjvi; litiU be required for 5000 copies of a ok of 13i^ sbeeti? JIim. 125 reami. 9. ii 8 mdiii in 6 days made 48 roads of ditolna|r : hoirmAiiy roods will 6 iti^n make in 36 daysi i AnWi aifiroddSi 3. If 12 i^jfk in 4 days mow 48 acres off gfr^ss : bbW inatt^ mast be emplb^fi^ to mow 192 acres in 24 da^s ? il9l». 8^ lli^]^. ' - 4. If a person travel 320 miles in lO ja|p| when tlie i^yii 12 hours lon^'i how-many miles will he travel in 15 days, when th^ day is JOl^oarslong? iln«. 640 miles. 5. If persons pay JC18 for 4 weeks board : what sum will cHsbharge the board of 14 piersohs for 13 weeks ? Anw. £B1. 6. If 18 men eat 16s. worth of brqad in 3 days, when wheiit is at 18i. jpkir boll : what value of bread will 45 men eat' in 27 days/When wheat is at 16s. per boll? "' : Ann. 1^15 value. 7. If 8 men can build a wall 20 feet IdHg, 6 feet high, and 4 feet thick, in 12 days : in what time wijil 24 nien build one 200 feet long, 8 feet high, and 6 feet thick? Afis. 80 days. 8. If £XQlO in 12 months gain J^5 interest: what bum will je825 gain in 9 moi^hs ? Ans. £30 18s. 9d. 9. |f 4^25 gain JC30 i8s. 9d. in 9 months : what will £100 ga|n jih i2 liiont^s ? . Ansi £5, ■'Vk' Tf jCIOO ih 12 Months gain £5 interest: what sum i|Fill gain £30 18s. 9d. interest in 9 months? ^ Aiii. £62»i It. If £895 gain £30 18s. 9d: ihteteiit iti 9 i^onfths :' #bat sUtn win gain £5 iii 12 months? iiW. £100. 12. If £100 in 12 months ^BiBl £5 : in what time will £895 faiiv£^ 18«-9d.? iU:^/ itA^j^ft' ,, !4w«- ^ monthp^ 13. If £8S!5, gain £90 Ids. 9|d. m 9 months : inwhl|tr%e will £100 gain; £5? 4l»». J2 moiM^s. 14: If 8 men accomplish 30 yards of ditci^ing in 12 days, working 8 hoocs pr day : in what time will 12 men finish a ditch, suf^sing its whole length 60 ywds^ when they work only 6 hours j^r day ? Ans. 21 1 days; I5u If 936 men eat 160 qrs. oi wheat in 108 days: bow many qrs. will 76 men eat in a year and 67 days ? , 4n«.2067Vqi» ■ iX$*' If a. tchest 8 feet long, 5 Uei deep, and 41 {ft^vW R.i;35 7s. lld.fi 3. Four merchants freight a ship to Barbadoes, value of the cargo jei260, where<»f A.'s share is JC540, B.'s JC360, C.'t MHO, and P.'s the rest ; they gain £020 : required eacb man's llumofit , Am, A.'sJC94 5d.8^d.4>B.'s:e62i7s. IRJL C's £ik 18s. id. 4^ D.'s i;20 19«. Oid.f 4k^j,A. B. and 0. continue in trade for a year, with a stocl^ iOOj at the end of whitth A.*s gain was dm, B.'s JtM, »4 56 : iieqdifed ihilf klDcks. ;' m PV»7S^liO:!f^^ J^|^0|l*Q||T|0|r. i iiii jiJilll: 4» Am, L»*s 101 ac. 8^ per., M.*s 88 aq. I ro. ^J^ peri, ;, N.'s 50 ac. ^ r». 4y*7 por. 6. A. insures on a ship and cart^o £&S^ B. ;C90, C. X85, D. jCSO, E. i;75, F. JC70, G. je65, H. £60, I. £b^, and K. JC^S; and damages are sustained to the extent of jC525 : how muoh must each underwriter pay, and how much will the proprietor lose, the whole value of the property being i^lSOO? An8. A. must pay jC4^ lis. 3d., B. JCSO Ts. 6d.. C. JC37 3s. 9d., D. i^5, E. mi ^ fis. 3d., F. X30 12s. 6d., G. iS8 Ss. 9d., H: XSe 5s., ^ S. :4 Is. 3d., K. JCIO 18s.' 9d. ; proprietor iCSlS 15s. JU>ss 88. 9d. per jC. A-^ x . 7. A testator bequeathed to A. 360, to B. 488, to C. £63^, and to D. 500, hut at his deat!) the net amount of his property wks Only £1343 : how much of this sum should each Ie^«tee have received ? " ^ ^i n ^ Ans. A.'s share £172 16s. S^d. jJ^.^B.'s £324 7s. qid.yV,, C.'s £413 8s. lUd.j\\, D.'s £332 7s. O^d. f |4 8. A bankrupt owes to a £126, to B. £104, to C. £98, to D. £249, to E. £84, and to F. £97; his money and effects amount to £508: how much can he pay per £, and what is the just dividend to each of his creditors? Ana. 13s. 4|d. J^J per £. A.'s dividend £84 8s. lO^d. |f j,, B.'s £69 13s. llfd./^V C.'h £65 13s. 6id.|i|, D.'s £166 17s. 6d. 'ffi, E.'s £56 5j. I0|d. |||, ar^dF.'s£65 0s. l|d.||J 9. Three merchants, A. B. and C, bought a West India ship ; whereof A. paid -^t B j^^ and C. ^, which aenounted to £786 188. lOd. ; in a trading voyage, of two years, they gained £1786, after paying all expenses: how much is each man's share of the gain ? Ans. A.'s share £1071 12s., B.'s £476 58. 4d., andC.'s £238 28. 8d. « Note. When the times of their continuing their stock in company •re unequal, each stock must bp multiplied by the time of ict cofttinuaheo, and use the products; thus-^ .A. continued bii stock of £25Q in trade for 3 |V|^^, j||. eontinued his stock of £960 for 2 'months, and C. hi« c^' iiBV |( HMNitbt ; ll|»|r f aiii«d 41^ : f;^^aired i^i^ •haras. l>ISTRIBimfS> IMFOftTIQII. I if to be i w each 7A P«r:, per, iJ85, B. K. J625; 9W much >roprietor 7 3s. 9d., (8Bs.9dM >roprietor C. ^£622, property h le^^tee J, !. £98, to id effects tiat is the 0\6.U est India iinounted arSj they ;h is each 6 5s. 4dM ).84* I company me of its VtSWX3ss790 CTi 540k <^ ==3340 9910 As;i010V,W^:4M> £60 18 s A*iiliiit. £4t)0| proof. 10. A. B. and C. had a joint stock of i!!630 ; A.'a continued only 3 mqntha, B.'s 5 months^ and C.*s a year ; also A.'s stodk was J^15, B.'s jCSIU, and C.'s the rest ; they gained £25t4: required tlieir shares. > An8. A.'s i;47 8s. Hd. |^, B.'s jCI 13 19s. Od. |j|^ C.'» je92 li!s. 7^4 Uf 11. A. and B. enter into partnership for a year f A. with J6300 and B. with jC;160 ; after 4 montlis they admit C. with JC120 ; at the end of the year their gain is X150: what is each man's share of it ? t Ans. A.*8 £68 3s. 7id. ^, B.'s i?54 lOs. 10|d. i^, C.*sje27 5s. S^d.^Sj- 12. Three farmers rent a field of grass f«»r jC42; A. pata^in 48 sheep for 4 months, B. 50 for 2 months, and C. 30 for 3 months : what part of the rent must each farmer pay ? . • i Ans, A. i;21 2s. 2|d. |^, B. XlO Ips. lOir}. jff, C.£9 i7s.lO|d.TVr 13. A. B. and C. enter into company for a year; A. puts in £600, but at the end of 8 months he withdraws £200 ; B. puts in £400, and at 6 month's end £200 more ; C. puts in £300, and at the end of 4 months £400 more ; but at the end of 10 months he takes out £200 ; they clear £360: required their shares. Ans, A.'s share £122 lis. 0|d.:rT. B.'s £114 17s. lO^d. J4, . C.'8£122 ll«.0|d.j\ 14. Three jrraziers rent a grass field, at £30 ; A. puts in 40 oxen fur 4 months, B. 60 oxen for 3 months, and C. 20 oxen for 5 months: what part of the rent ought each to pay ? Ans. A.'s sbaie of rent £10, 18s. 2d. ^^ , B.'s £12 5s. 5d. ^, C.'s £6 1Qs.i4d.^, 15. Four merchants, P. Q. R. and S., agree to trade together for 18 months ; P. puts in £300, and at 8 months' end £400 more; Q. put^ in £600, at the end of 4 months takes out j090Cf, and at ^^he end of other 6i months puts in £300 ; Ri puts £700, whijh continues the whole time ; and S. puts in £275, ' at the end of 12 ni^nths\i^l275 niore ; they gain J^IOOO; Hs eacii man's share 7 wtiii& r^ £208 179. 9id. i, Q,'a £231 28. 3iy takinir Men «W^^i^^^^ ;- TtlJLi OF AUCIVOT PARTI. Ofaicwt. Of ftMUI^* w« 8a* ■* 5 = 4 3 3 3 1 1 1 4 6 8 4 -I — - TV Ofashillii^i 4 = 2 = f Of a jJenny. 2far.= Ad. 1=1 Ofl Of aqtiarter. Mlb.= ^q 7 = I Of a^quairter. 41b*= Iq 10dwt.==! 6 I0^r.=- 5 ^ -" 3 8 =1 2 =iV Cam I. WlMn the price is an ^yen part of a p&aay, 8!)illi'»^i{, or pound. Rum. Blvicle tho given qfuatititj by the pan mfimh the price is cf ii penny t shillingj or pound, and the quotieiit will be the answei in ^mtjee, shillings, or pounds, respectively. What b. t'!5 price of 6s. 8d. } I \ B5'i yards, at 6s. 8d. What is the price of £^85 13 4 ans. Find t^ii value 1. of 973 yards f® 2s. 6d. 2. of 614 yards ^ Is. 8d. 3. of 466 yards 6s. 8d. 4. of 591 yards (a> 3s. 4d. 5. of 7l8 yards 5s. Oli. 6. of 1^ yards O 4s. Od. 7. of 853 yards (® 2s. Od. 8. of 397 yards O 10s. Od.' 9w of 674 yards (S> Is. Od. Id. ^f8¥4 yards o 0«. 6d. 11. of 974 yards (9 Os. Id. i 1% <]f 917 yards (9 Os.^. 13. of 872 yards (Sf Os. l^^d. 14. bldityatds (Si' Osi4d. 14^ •I4l8fi^^iP«lae, it ^ T14 yw^ I© 0ifc 0|d. ..; if. 6f 1^7 yard! (Q 0i. Old. ..,' Cam It When the price is lew thiA titoe shilling, bat not an efeo pi^rt. J Ri^. Divide it into several even parts, or the less intiieven parts of the greater, and work for each bj case first, the sbm of the qubtients will be the aniwer in the name, out of which you took jrOnr first even part What is the price of What is the price of 1 •9 9851b.at2id. 164 2 30 6i 2,0)18,4 Si w^hitii the M will be What is the f^ 1. pnce J. ' 2. price ice of 3. price atl|d 4. price m 5. price 6. price — 7. price 4^ ans. 8. price 9. price 2 6 10. price 3 4 11. price n 12. price 13. price 14- ptice 2 15. price 6 - 16. price 1 j_ 17. price 4 J 18. price 7 d 2 io 19. pryee price 9 3 ^L price 9 i^ as: price 2 4 ■'fm^ pnee 9 8 94. price JC9 4 8i ans. of 586$ lb. of 4719 lb. of 8250 lb. of 3081 lb. of 1947 lb. of 7625 lb. of 5839 lb. of 1370 lb. of 8050 lb. of 3904 lb. of 41621b. of 9251 lb. of 2704 lb. of 3290 lb. of 7345 lb. of 1938 lb. of 6153 lb. of ?61,7 lb. of 8162 lb. of ^074 lb. of 4615 lb. of 5t8t ib. Of 15091b. of esfiotb. 6 i 3587 lb. at 8id. 1793 6 597 10 149 5^ 2,0)254,0 9i • jei27 9i ans (3) Old. Ans. j€18 6 6| (S> Ud. 24 11 61 (S> l|d. 60 3 l} (S> 2id. 28 17 8i (St 2id. % 5 7i (St 2|d. 87 7 4} (St 3id. 79 1 4} ® 3^d. 19 19 7 3id. 125 15 74 (S> 4id. 69 2 8 (S> 4H 78 9 4|d. 183 1 lOi (S> 5d. 56 6 8 (S> 5id. 71 19 4i (S> 5Ad. 168> 6 5i (S> 5}d. 46 8 tj (B 6|d. 160 4 84 ^ m 70 17, 6j^ m 6|d. 229 11 H (S> 7d. 89 13 2 m 7id. 139 8 2| (S> 7*^. 180 13 li W 7ld. 48 14 W U m nAMClCIL h-:M What is a?. sa 99. 3Q. 31. 32. 33. 34. 35. 36. 37. 38. 39. Note, th« P W "prijBe price iprioe price price price price price price price • price price price prjo^' When of 5900 lb. of §635 lb. of 8170 lb. of !?459'lb. of 3607 lb. of 4583 lb. of 9000 lb. of 4111 lb. or 5555 lb. of 3131 lb. of 7007 lb. of 2642 lb. of 8^80 lb. of 2714 lb. of 8888 lb. the price is aid. 8fd. (Q 9d; (a> 9id. ,(Q 9jd. ,M 9|d. lOd. (3> lOid. ^ lOid. (S> lOfd. (3> lid. (S> lUd. (a> lUd. (S> ll|d. sa 6 297 17 279 9 139 62 13 365 12 171 5 237 4 136 19 313 17 121 1 392 16 130 435 2 any number of shiilingd. Rule. Multiply the given quantity by thcnoi and divide the product by 20, for the answer in pounds. If t|he price be an even numbert>f shillings under 26, multiply the quantity by half iheir number, do^bling the firsc figure of the product for shillitifgs, the rest will be pounds. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 621 (a) 428® 777® 882® 667® 527® 682® 400® 614® 816® 469 ® 783VS) ei55® 609 ® 182(3) 28. Ans. :e62 2 16. 210 ® 178. 3s. 64 4 17. 314 ® 18s. 4s. 155 8 18. 639 ® 198. 58. 220 10 19. 416.® 208. 6s. 200 2 20. 803 ® 21s. 7s. 184 9 21. 574® 228. 8s. 272 16 22. 635® 23s. 9s. 180 23. 708 ® 248. lOs. 307 24. 293 ® 358. lis; 448 16 25. 314 ® 43a. 12s. 281 8 26. 520 ® 528. 13s. 508 19 27. 472® 648. 14s. 598 10 28. 795 ® 7 Is. 158. 456 15 29. 348 ® 838. 168. . 145 13 3Q. 231 ® 978. An8.i?l78 10 282 12 607 1 416 843 3 631 8 < 730 5 849 in 512 15 675 2 1352 1510 8 2822 5 1444 4 1130 7 Ca4e III. When the price consists df shillings and pence, which are not an even part of a pound ; orofBhillings, pence, and farthings. RiTLE. Moltipty the quaiitity by thi^ ,fhiUing8^,,thei|^ take parts, for the inferior denoniinationsi aa in caaea' firflT' and fecoDtl| anii aif^ them together for the ^Wft'* \ .T^P^^^rflr 1 divide the \Q. muUipIj sC figure of n.£nS 10 f 282 12 607 416 843 1 3 631 8 o 730 5 849 If^ 512 15 675 2 1352 1510 8 2822 5 1444 4 1120 7 md ^pence, igs, pence, the^ take ! fiifti and Wl^at if thi| vtliie of 6 i "^ f ji.'itW --iff. '23d' '8'' '^' ^^^^^" 118 3 29 6f A 2,0)1330 3} . ' £66 10 3|Ans. >5i 47il gala. (91 ^jH^-. t/? 2 . 194»'iBWjki9 HirMi 17 1 13615 1945 33065 324 2 ; 4p6i What is h 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. the vnluo of vmIuc of vqIuc of value of value of value of value of value of value oi value of value of value of value of value of value of vafue of value of value of value of value of value of valjie of value of value of value of value of value of vailue of Value of ▼aippof 2,0>33429 8i £1671 9 8^ Ans. 292 gals. 671 gals. 279 gals. 181 gals. 377 gals. 417 gals. 876 gals. 542 gals. 822 gals. 748 gals. 666 gals. 427 gals. 380 gals. 421 gals. 672 gals. 807 gals. 172 gals. 164 gnls. 198 gals. 214 gals. 278 gbls. :H1 gdls. 374 gals. 669 gals. 800 gals. 425 gals. 506 gals. 712 gals. 360 gals. 236 ga^ Is. Is. Is. 2s. 3s. 48. 4s. 5s. 5s. 6s. 6s. 78. 7s.' 8s. 88. 9s. 9s. 10s. lis. 12s. (a> 13s. (a> 14s. rol 15s. 178. 18s. (S> 20s. (S> 238. m 24f. & 278. (^ 32a. (as (a) (S> a (Si (a) (3> (a> (S> (S> (a) (3> (a) (S> (S> (S> lid. Ans. £16 (S) (S> 8|J. 6d: 9|d. lO^d. 9d. IIH 7d, 8|d. 9id. 10|d. 2d. p 5id. 6|d. 7id. 2id. 4id. 3|d. IHd. 9d. 8d. 5d. 2|d. 8d. 7id. 9d. lOd. 8d. 5d. 6d, 58 20 25 73 99 217 151 235 253 229 \h^ 141 180 289' .370 80 84 118 136 189 245 284 590 745 440 602 878 493 m 2 5 34 18 6 9 Of 10^ 9 3 6 9 4 6 2 7 12 7i 2 14 4 2 9| 16 14 3| 12' 6 11 3 8 19 16 3 n 6 4 1 15 8^ 19 18 9 19 8 2 8 IQ II I CUM Xy. Whdii iW priee eoaiiftt df poiili4if willi InMttr m/mtf, whidh ii an ^n p«tt of a poond.^ Rum. Multiply the quantity bj tb« poandi, and by eaie I flrat find the value of the infenor money; add thii value and ] the product together, and their sum will be the anawer. What is the 1. S. - 3. 4. 5. 6. 7. 8. 9. 10. 11. 13. Note 1. When the inferior money is not an uliquot part ^f a pound. | Rule. Multiply by the pounds, and take parts for the inferior money ; or nraltiply by the number of shillings in the I price, and take parts for the rest. N. B. Soraetimes the one way is easier — sometimes the other;! this depends upon the price: but it is a very good exercise for tbe| pupils to work the questions both ways. What is the pried of or thus. price of 573 cwt O £3 3 4 Ans. X1811 6 8 price of 488 cwt. & 6 3 .6 3989 price of 375 cwt. & 10 5 3843 15 price of 176 cwt. (S> 7 6 8 ' 1390 13 4 price of 515 cwt. (S> 16 1 8 8383 18 •4 price of 917 cwt. (S> 4 4 3851 8 price of 470 cwt. (S> 8 10 3995 price of 255 cwt. (S> 5 1 1387 15 price of 608 cwt. O 3 3 1884 16 price of 341 cwt. (S> 9 3 4 3135 16 8 price of 190 cwt. (3> 1 6 8 353 6 8 price of 412 cwt. (S> 6 3 6 3533 10 3 4 4 h 1 857 cwt. (of jC4 3s. Q^d. 4 3438 143 16 8 14 5 8 1 15 8^ JC3586 18 Oi^ Ans. 857^ je4 3«.8H 83 3571 6856 71131 438 6 143 10 35 30)71738 Oi je3586 18 Of Find the 1. price of 478 cwt. (S) £3 11 8} Ant.Xiri^ 1^ ? 2. pi^ce of 866 cwt (&> 6 3 11} ^ 533^ 1 11 ^ price of 648 cwt. 1 17 t ^ I86il %'M fMUit •.■« *♦*>«!'• nd byeiie ■ TaliM and rer. 11 6 8 39 13 15 )0 13 4 33 18 ' 4 SI 8 )5 37 15 34 16 25 16 8 S3 6 8 23 10 t f f a pou nd. rt8 for t he inge in 1 ,he s the pthi Br; rcise fot \ the fA 3«. 8| id. 4. priM of 954 owt. O ,£5 8 5, price of 431 owt (9 ^0 ./(• 8 31 Aoit^m^^ 11 brice of 481 owt (9 3Q Q 9 6." price of 611 ewt (9. 5 1 4. 7. price of 189 cwt. (9 3 14 74 8. price of 310 owt. (Si 5 16 3} 9. price of 607 owt rs 10 9| 10. price of 514 ewt fS 3 18 3 11. price of 314 owt O 114 6 13. price of 666 owt f9 7 10 13. price of 750 owh f® 4 13 10^ 14. price of 343 owt (9 3 9 8 15. price of 196 cwt /S) 11 5 6 16. price of 400 cwt ® 8 16 7^ 17. price of 965 cwt (Si 3 8 11 18. price of 508 cwt ® 119 4| 19. price of 354 cwt (Si 15 10 10 SO. price of 631 cwt ® 4 17 6 Noit 3. When there is a fraction in the quantity. Ruxj(, Find the value of the whole number by the foregoing I rales, and. the vftjue of the fraction as in compound inultiplica» I tion with a fraeiion. i. £75i yards ^;£0 6 8 Aq9. ^91 17 6 843$ 3097 705 1331 6093 1497 369 4689 15 3530 6 849 6 3309 18 3533 10 3335 4 1000 13 3947 11 B 3037 7 6 3 7 1 1 3 19 8 2 7 1 6 9 4 fl 3 4 9 «. t%\\ yards ®, 18 3. 419} yards ® 5 U 4. 5$oj[ yards (g) 1 5 6 ^* 104^ yards r® 17 8 r6. 4£0| yards r9 7. 8 IS) yards ^ 8. 105g gals. M 9. 1471 gals. (Si 10. 168| gals, ra ll.' 158 1 gals. (Si 12. si5|:V S&ls- ^ is. l4«Aga*8- ^ }4. 1661 gals. ^ 15. 809| gals. (^ \%. dtOAcwt. (9 3 18 17. 416Lcwt. O } U 6 18« SL'^tmX. (9 4 10 19. 7^;^^*cwt. (9 18 10 10. 6l4i cwt. (9584 SI. 36H cwt. (9 1 15 8 9 9 3| 6} 2 2 11 3 10 3 9| 8 4 649 \% 124 740 2 171 11 506 17 785 13 43 53 11 10 18 58 9 10 j 31 9* 11 27 6, 5i i 31 8 10| i 1855 \% % , 2^4 12 6 ^^' 676 a 1|, WTO, 7 , 699 19 0| U 3817 14 S 351 It 8i^ 19 monoi* Cam V. WlMn Um qmntity ooniiiUi oTMftnl dMomiMtlMM. Wouii' MttUiplythe pHee bjrtha nornberaf ; ^^f^rt; and Ibr tbe other denominalioni of the quentitjr, take ;> rt.g of th« prife of the integer ; or of one anotner» and add \.r*}ic to tha fahie of the integral part for the anawer. JVe^e. . To know which are the integ era, observe, whra the priee la at io much fier cwt , the cwik in the quantity are integert ; when at io much per yard, the yardi are integere^ when at to much par ounee, the ounces are integers^ &c. ^jd. Iqr. Sna. at 15i. 8d. pisr yd. | 63gl.^t. Ipt. at 8i.4d. per gl. 1 ■ r i ! 9 h 158. 8d. 3 3 7 9 21 3 3 11 1 Uh 88. 4d. 9 3 15 7 26 5 4 1 9 Oh jC21 8 10^ Ana. J636 10 iih A^\ L 35 & 14 8. 97 4.^59 5. 47d 6. 740 7.^318 a 43 9. 10. IL la^ 56 97 m lai: 408 14:-:. 36 15. «5 16.i370 17. 406 la 519 19. 36 aoi; 75 91.499 99^318 yds. 9 qra. 1 9 1 3 2 1 gal. 2 qt 1 3 2 i 3 qrs. 4bus. 2 3 1 5 3 2 2 7 1 x>zi i5dwt.8 19 ■H- 10 17 19 na. O 58. ^168. (Q 78. (S 9a. (Q 48. (S> 128. ^ (S> 15a. pt (S> 3a. (Q 48. (St lla. (S 9a^ ^ 58. (S 128. ppC(Q 16^ (S 138. rS) 958. O 388. 47a. gr. (S'^&a. i^ (B 6ii. 6d. per 9d. 8d. 6id. 9d. 6d. 8d. ; 6d. per 3d. 8d. 9d. 3d. ; 6d. ' 4d. per 8d. 6d. Od. 9d. 4d. per 8d. 6d. 34 yard je9 15 19 9 87 7 6 19 113 469 17 h gal. 8 19 19 i 949 7 11 57 119 149 14 955 9 99 17 58 7 479 13 771 19 ^5 4 *: ^#16 Itl9 , 69 13 V. 6i? •»• 7 lOi Oi m H 7 4i X i 10 i MAOnMU 34. 64owt. I«|r.l61li. 95. 18 86. 72 97. 143 98. M)4 99. 189 80. 610 31. 917 1 3 9 9 1 9 14 16 94 7 91 104 (9 5»10d.peroi.jeiSl 7 (9 7t.4d. (» 17». 64d. (9 It. 8cL (9 15t. 9d. (9 ]6g.4d. (9 5t. lOd. (9 24i. 6d. (9 19f. Od. 93 19 15 17 , 6 119 8 419 3 55 5 747 15 906 14 Soit' When the givep quenUtjp ii not of the eime neme with the integer whttte price if given. RuuE. Reduce ii to the lame name ; then find ki Talue by the foregoing rules. 6 cwt. of iugar (9 S^d. per lb. 119 BTTlbi. 9 673 8 doz. pre glovef (9 3s. 9d. perpr. 12 3 9 — 12 96 pairs. ■' ' 9 5 90)476 X93 16 Ans. £18 Ans. >•••«••« 1. 7 ewt. sugar .. 9. 14owt. flax 3. 6} tons tallow 4. 9 cwt. beef 5. 17 hlids wine .., 6. 20 anks^ brandy 7. 6 puns, rum 8. 60 lb. tea 9., 17 stones soap 10: 19 gallons gin 11. 7 thousand quills ... 12. 21 reams paper 13. 16 pounds cloves...... 14. 27 doz. lb. candles ... 15. 19 stones leather..^... 16. 8 doz. pairs gloves... 17. 3 cwt. tea 18. 44 yards cloth ..'....^i. 19. 96 ells English.......: 20. 37 yds. 3 qrs 21 59 cwt. 1 qiP.^ 14 lb. ... (9 Os. 9}d. per lb. j631 17 (9 12s. Od. per stone 67 4 7s. 4d. 38t 6 7s. 4d. 26 8 16s. 2d. per gal. 865 14 f9 22s.0d. 920' (9 16s. Od. 403 4 Os. 7|d. per oz. 30^ Os. 9d. per lb. 8 18 5s. 6'd. per qt. 20 18 2s.' 9d. perhund. 9 12 Is. 3d. per quire 26 5 Is. 3d. peroz. 16 0* Os. 9Ad. per lb. 12 16 Is. lO^d. 24 18 Is. Sd. per pair 6 16 5s. Od. per lb. 84 (9 (9 (9 (9 (9 (9 (9 (9 (9 (3f (9 68.' I'O^d. per«Il Eng. 12 2 14s. 9d. per yard 88 10 (3^ 19s. 6d. pi>r ell Flem. 31 9 i4s; Od. pefitone 344 7 $ 6 6 6 6 9 9 6 1! mi: Hi - 98. S8. ^46lb^ 7oK. troy .....^v/9 5% 84. IMr.ip^ fiS lOl T 8 »**T- Gb|ite|RC^AL ALLOWANCES ; ok, ^ ARE ASnjB$% Are 0|Brt«in deductions mtide fipom goods, liehich are weighed in t^ litest, barrel, or whaterer contains tltbm. Chroaa weight is the weight of both goods and'pack<|g0s.'^'' Tare is an allowance granted to the buyer for the weight of the barreli^.,. containing the goods, and is dedueted from' the gross weight. Tret is an allowance of 4 lb. on 104 lb., or ^ till' ^podt liable to w.'iste, and is deducted after the tare. Ckff is an aUowanee of S lb. on 3 cwt, or yi^ given tv' re- tailers for the turn of the scale, and is deducted after the tret Note. After subtracting the tare from the gross weight, (he remainder is called tare suttle ; and after subtractijng the tret, the remainder is called ifre< suttle; and what remains aft^ all the deductions are made, is called net weight, ' RoifB. Subtract the tare from the grpss weight, and from the tare^^ suttle deduct ^ part, the remainder will be the tret suttle ; and from the tret suttle deduct yj^ p^rt, the remainder is the net weight. N0te. In calculating commercial allowances, remaipdem less than i a lb. are reiected, but when i or more i,\iey are CCiv#idered 9$ lib. What is the net weight of 6786 c^t 2 qr,, tare 18 lb. per ^t^t deducting also titet and cloff? I cwt. qr. lb.. ii' 16 1 T I' 1 p786 2 gross weight 9^9 2 P 91 1080 S 31 tare. .I-"" 36)a«95 219 3 7 tare suttle. 8 tret ir 168)5476 2 d7 tret suttle. 32 2 11 doff: Ami. 5M4 16 net «f!ei|^ il *958 4s. 3d. 8. How many gallons net are in 14 casks oil, ekch weighing 3 ewt. 3 qrs. gross, allowing tare at 15 lb. per cwt. and 7^ I'd. to the gallon 1 Ant. 633H gallons. 9. What is the net weight of 468 cwt. '3 qrs. 16 lb. sugar, after deducting tare at 14 lb. per cwt. ? An9. 410 cwt. 1 qr. 3j^ lb. 0. What is the net weight of 315 cwt; 8 qr. 31 ib., tara 16 fci per cwt f Ans. 370 cwt. 3 qrs. 101%. .iv;4. i M iiat. 136 owt qr. 8 Ik fcf^ qi^ jilff» 1^ bit ippney. tfifMifm}) rB ^bi$ mom^ lent. /t|j(ff^ jif tho rite per cent agreed upcm., Ini lj y wl , 11^ ihe mm t4 principal <«d iniereet* IMe, Hie h^ett intereirt which the law allowt ii called hgal itUerttt, Umrf it interest aliove what the law allo#f. 1.^ To 4^ the inteTjest Qf any fpm pf money fpr any niHn|H)r ofyeaM. Rviii. Multipfy the priiieipal by the number of yean and by the rate per eent. and divide the product by 100. What it the interest and amoimi of j6746. iSti 6|4. for3i yean at 6 per aent. 746 15 d. 6 4480 19 3 13441 19 m» 6 156)89 6 30 9 4i £ •>■ 746 15 156 16 d. 6^ principal. 54 int^i^. 16)46 19 9P3 la amount. * 5)56 4 ^ 3)36 13 100 50 y^jii » . , .1. le««ired ib^ inter«8t of X3748 16b. ior two y^ari^tt 5 per ejoni Ans, j|S374 17fi.(]r{4 ■ t^>= Wtarii tflB iiiiMii «r JVM UmMA.-iti mkmM, iM ^t ^ «^' ^^ iiiM. X105 Siii^tf 4 r^^ file iateMit oT jdOM l€v>#d. fiit 4ii^l|ii«a70i 5. What is the interest of £450, for f je^, ^^SK» ^1^ ' 6. Whtt is' the^ iateiest of £1^169. tot Sf jeiri^ at ^(pt cent? iliw. J61dl8ft9#ik| 7. Reqiiired the interest of Je75 10». for 5 lears, at U p0r ^ tiat. AntZj^mi^Hd^ & What is the intereitt of je400, for 2 yearn t^d,5 tbMbit, (or d^ years) at 4 per cent. 7 Ani, 438' ids. 4dl 9^ What is-tbe interest of J6250, for 3 years 7 monlfas ^r $X yeara) at 6 per cent? Ant, X53 Ids. 10. What is fk» interest of £6Q0, for 4 yean 10 inonlhs (i* ^ 4f year) at 5 per cent. ? Am. £164 6s. 8d . U, What is the interest of ^6740, for 1 yeat 3 months, «t 4^ IMT cent. ? Ana. £4X lis. 6d. 19. What is the interest of JCSdO, for % years 9 months, at 6 percent.? An». £5^ I^b. 13. Find the interest of ;eiOOO, for 5 years U months, at 5|pei:,eent Jln«. JC3^5 8s. 4il. 14. Pin4 the interest of JC65 158. for 3 years 8'ition|h8, at e p6t e4tit Ans, £1498, ^d. f 15. Fin4 the interest of je4500 for 4 years 2 n^onths, at 5 percitfit ^^«; ^£037 10s. 16i Fmd the interest of £i>0, for 5 months, at 6 per cent V Mnt, £1 5s. J^nd the interest of JC160, fc/ 7 months, <^.4^per cent Am. J4 4s. Find the interest of X360, for 10 months, at 5^ p^ cent. An». jei^lOst 11. To find thie interest for weeks. "RvtM. Multiply the principal by the rate per eeiit and by the aomber €4 weeks, and divide the produot by 5900. 1. Find the interest of ^£85^ 10s. for 40 weeks, at 6 per cenU iln#. je30 6s. ild. ^ ^ # What is the interest of je653 2», 7d. for 36 weelur, af 5 per «en4. ? Ant. £22 12e, l|di |4 3i Inquired the interest of j6428 4s. lOd. for 47 weeks, at 4' percent 4fi«. Jei5 9i. 7^^ w 2 It 18. AM JtofoiMdl tie Mumi trjOMO 19«rM Imt t. jiiirfiuid M wM|i, it i pur r6Mit. •. uln*. A'lll 18f. 2id* A IIL To 4od the mterett for deya. . ....'■■.' j> Ruts. MoUiply the prineipal by the nt»> per eeitt. and by the mimber of daya, and difide the product by 36,500. V What ia, the intereat of X743 138. 4d. for 142 daya, at 4^ percJent? ,;: iln#. i:i3 Oa. 4id. fff} 3. What^il the intereat of JCTSO Ual 9^d. for 36 daya, cS 4 pereent? Am. £3 U. 7d,}j^ 3. What ia the intereat of jS780, for 257 days* at 3{ par cent? • Am. jC20118. 10|d. ^ 4. What ia the inteio^t of je584, for 308 days, at3|per eent.? Am. X16 ISa. 7|d. j||} 5r What ia the intereat of £850, for 308 daya, ^t 4} per cent, t Am. £32 58. Hd. ^ 6. Find the ipterest of jei45 13s. 8d. from 4th of Jvne to the 16th October, at 6 per cent. Am. £3 4a. 2d. jf|f 7. Find the interest of X362 158. 9d. from 6th May to 8th September, at 4 per cent Am. £4 198. 4id. ^ 6. Find the inter^t of JC724 18s. from ^rd January tHl August ^OtHu at 5 per cent ^n9. i:22 14s. d^d. y^^ 9. Find tbe ir^erest of i;230, from May 24th till NoTcinber 16th, at SAper cent .^ Am. £3 15b. 9id. ^^ 10. Find the interest of jC154T from January 7th till July 23rd, at ^f per cent An8f,£3 16s. IQ^d. -^^ 11. ^md the interest of £630, from September 12th till January '27th, at,4i P^r cent Am. £10 Os. 11|4 |}f l|9U>y l^ind the interest of jE;720, from March 8th till June 7th, at 6 per eent. ^ ^. ^ .An*. J610 15s. 4|d. |U ,](y.^. T^ find the interest when partial payments are made. Rule. Multiply the principal and the successive balancea by the number of days between the times of payments, add the products and ii^d the interest as formerly. Borrowed March 20th, 1845, £1000 ; of which I paid jCSOO September 17th, £150 December 2l8t, £220 February 23rd, 184$, and the balance July 23td: how much then waa due, principal and intereat, at 4 per cent? r HKiMW nMHlli''iV> Urn- 9^ the. 31 Feb. 23 Jul/ 23 loSo 900 ]L81 181000 66500 35300 49500 700 150 95 550 320 64 330 330 150 332200 % 4 •;\ rr Jol/ S3rd, 194$. Prinei|Ml dut X839 t Intoreat du6 36 8 li Anf. Je96« 8 H 8 d. 1. 2. 16th, JC102 cent 3. 36500) 1328800 (36 8 li 4f Interest. Required the intereit on a bill of X854) dne June 8tb» of whicli J6240 were paid August 16tli, jei69 October 4th, J6238 JaBiuury 20th, and the balance March 8tb, at 4 per cent AoM. i;i6 Is. 9d. ^1^ Required the interest on a bond of j£1000, due March of which £324 were paid May 3rd, jei66 July 18th, December 2nd, and the balance January 6th, at 4^ per Aus. £22 128. 6id. y*^ What is the interest on a bill of j6456, die M^ lib, of which £120 were paid June 18ih, £116 September 27th, £136 Novesdier 17tb, and the bidance December 27th, at 4^ per cent.? Ans. £8 6s. lOd. ||f| 4. What is the interest on a bill of £900, due January 1st, of which £150 were paid February 28th, £S!70 March 30th, £173 June 19th, £213 July 28th, £57 September 23rd, and the ba- lance November 17th, at 3| per cent. ? Ans. £13 13s. 2d. 42} 5. Lent January^, 1845, £2000 ; of which I receiredTApril 7, £350 ; September 28, £690 ; December 18, £420 ; and the balance April 7: how much was then due, principal and iate- rest, at 4^ per cent. Ans. £608 13s. O^d. ffj y. To find" the interest OB accounts current. Rule. Add and subtract the sums paid and receifed im the order of their dates. Find the number of days between the different tranpactioris, multiply them into their respective balane^es; iuid if the balances are ^sometimes due to the one party ai|d iometimes to the other, extend the products \n different coliiimis, then add them ; and when the rates of interest are diflSurent, nUfltipIy each sum by its rate, and divide the difierence oi the plodttcts by 36,500 for the interest. R^ired the interest on the following account, till Ni f eBltw 3(j, il&wiSiif 5 ^r «ent. to A. B. and 4 per cent, to R. S. : Wi .if!:''' "Ski '•■ h\ 1 i i ■" t ■i !■ ■ H; i m 11^ rl'i'i vmf '^Em ' A. B.»g iecowit wrt iint with |L Ifc Cr l^M. 7 Mar 13. Apr. 28. June % Aug. 17. Br. Hot. 1^. Gr. 3Iwr.Mll Gr. Dr. Dr. Dr. Cr. Cr. Dr. ©r. Cr. Cr. Gr. Dr. m 1Q3 118 Jme J. Auf; 17. NiOT. 18. lf75 100 231 354 i 138 400 «67 275 8 100 158 28 d 36 ti 108 350 19 242 255 18 7004 6188 9612 I .i 74 12 17908 40712 ■ Oi 6118 2052 <■ ,..<^.x .i-ii W6 6926 5 JJB9848 44630 44^0 ^ ^ ^^ 36500)ll82li8 3 4 9i i* Mibtpmed die intereit on the fo^wing aceonnt, at 5 per jir. Mt* BjfWtt*B ABC j-nt cDRWit with W. F. & Co. Cr. I«i. t. 7o%ala»c« JC310 if» r l^oa# ISO IKiT i' t ••• • •• MO • 4p*ill4. %c«ili £m JttM 27. ... A15 A«f. 13. ... 167 0«l. 12. ^. m^ Ha?. 18. .«. 120 4iif^4ri7teaii|} e«it May 1. To balance £250 June 38. To c^ 140 Not. 12. Jane 8. aigr 19. o^ do. Dec. 12. Bj .i. 280 150 200 Ir Alii. cCe 188. lO^d. y||, 3. Itfe^n^M ttib mUtiii bn "ihe tollowing account, till December 31st, allowing 5 per cent wl^en the balance if du« to the bank, atiid S| >«r ^tlt. Wheid d^e to A. B. A. B.'s account current iHth 4he CJemmercial Bank. t*8d^ to Uve Bank by A. B. Ct, If ar. IB. By caih JC300 June 38. ... 727 ^Sept. 4. ... 564 Oct ^1. ... 322 ,.Deo. 40. ... 68 Ant. jei2 lOfl. 2|4. ^ 4. On thto i^i^ni^ ^1 i^miahibr^iBi, ^ per cent toUe bsdk, 4 pe^ de^ito C. D. 'C. ik*<« m mymti n^bs June 8. ... o9li July 25. 496 Oet. 18. «.. 422 HoVk 2& ,«. 166 jIm. je8 14b. l|a. jij^ COMPOUND INTEREST. dMi^^nd Interett is an allowance not onl^far tlieiiiseotf idie suim 1)orr6wed, but also ibr the use oi t^ie Miterest ailter it JMConies due, which iv added to the priocipal» and ihe wtnijiiint 'beoomeg a new principal for the nest year. Enu. rind (be mteieat lor the iriit year, iM «lidd it te tiie priaiipyt thes find the inleieet el I|»«mi *r the teewkd ^fifm and add it to that MUBs and ee'en^ ; ^1 ; ,1 : li| 4 iM oo: i'i My MMi w itf inu>rMt for uM7«*r. IfhiNt wiU #l(P^.MM>iiiit to in Ibar jMMi, ri:5ep«r mbI.^ ■Mnm^ , i> i '.1 5 Itm'ii 6 giren prineiiiftl 50 fint year*! iiitarast 1050 ! seoond year's prinoipal. f»3 )0 leeond year*! mt0i»»ti 1102 10 third jear*! pino^paL 55 3 6 third^liar'8 interest 1157 13 6 fourth yearns prireipal. 57 17 li fourth year's interest ^315 10 1^ amount in 4 years. 1000 .0 ;-f 315 10 1^ compound interest ' 1. What will J64000 Unmount to in 6 years, at 5 per cent per aoiiiuil iiiM. X5360 7s. 7}d. 3. Wh':it will X30,000 aiqount to in 8 years, at 5 per cent, per annum 7 . « . r .^^^ jC39,549 Sis. l|d. 3. What will jCIOO amount to in 10 years, at 7| per cent? < ^ UMiiiik) iliM; jCSOG Is. ll^d. COMMISSION AnF BKOKilR AGE. GommMfton and Brokerage are al)[<^ances ^f a certain .?i|te per cent to bankers, agents, or brokers, for transacting Uie btisiness of others. -.ij '. RuLB I. When the rate per cent is £1 or upwards, multiply ifte sum by the rate per cent and divide by 100 as in tftterwt RuLB II. When the rate is under £1, work the question by proportion, or take parts as in Practice, — and divide by 100. According to Dr. Price's calculation, ''one peni^y put out at^our &ivte^t birth, at 5 percent, compound inter ett, would, in die year 1791, ha¥e ipcr»atea to a greater sum than would be contained in thlMi hmidred nilUons of earths, all of solid gold ! But if put out at mmple imiereat it would, in thei tame thne, haTe amtounted to no ^aMB:ihan;9ls.'^|d. |." ^That the ktter is«ort«et,' «•; penen^iay sstMfy UiMtlf in Haw sMuuJies, hat the fimnar iin«li«t«a oakplatioii of such Isngth as few will eacounissi ■.. \ - ■ .4 ^ outat^our or,100:937::7 6 : f lill Hi 1. 4. 8 ^ 937 117 3 d. 6 or»X987X|-M00ss£8 10 H^ 100)351 7 6 1. 9. Am. j63 10 Hi What if the eominiMion on JC831 6s. at 3| per eent.1 ^ ul»«. 3620 158. Tf4* i What ii the cottominioB on Je759 lOs. 5cl. at | per centt Ana, £S 13i. lid. }| 3. What il the commission on JC568 148. 9d. at H per cent 7 Ana. je7 28.2d.|} 4> What is the commission on JC950 IDs. at 1} per cent? Ans. X16 12S. 8d.| 5. What is the commission on £576 15b. at 2^ per cent? Ana. di;i4 8s. 4^d. 6. What is the commission on X958 1 Gs. 6d. at 3iner cent. ? Ana. £31 19fP|d. } 7* What is the commii^sion on J61242, At 28. 6d. per cent 7 Ana. £1 lis. O^d. } 8f What is the commission on £579, at Gs. 8d. per cent ? Ana. £i ISs. 2id. } 9. What is the brokerage on i>756 19s. 8id. at | per cent ? Ana Je4 14B. 7H 10. What is the brokerage on JC12I9 15s. 6d. at 4e. per cent? An». i^'.9 8lB. 9H 11. What is the brokerage on je675, at 28. 9d. per cent? H JiT^:■■' . . Ana. 18b. 6|a. 12. What is the brokerage on jC598i at 4s. 6d. per cefit? Ana. £1 63. 10|d. ^ 13. Hofr much does a broker receive for selling stock to the amount of ^ a millioni at 2aL 6d. per cent. ? Ana. £&15. 14. My agent writes me tfa&t he has (ransacted business on mj account to the Simount of X8560 : to what commission is he eiititled at 2| per cent ? .Ar». J&199 148. 8d. 15. A salesman disposes of woolfen goods to tise amount of £1260, rouslihs to £1450, and hardware to £850: what is his commission at 2| per cent. ? \ Ana* £75 13t. 1€L Mj faeiors saM, per the ship SilasV amount to £9a714«> lid.: what is hii obnuiizssion^ ai»i p«r eeni'l '^■■^ (I tt •; i'-i'i 1 VJ, ft ■1 ■ ■.;« I N- f^ II U WhMMiiliter ip.i^)l*ii«dillik|M — , wliBtd^iiid be oluurfe for tranMctii^^ Iiiiuoinui to tlM iaouat I8l Sisnt myent^oyeri^i ittBeounioTtlMJaUfro fOMTf the grots amount CAiae to !at99lOO;'^t7> freK^tfluid MMr'^har||W,J0754 I4i. M.t| MHnmiMiob on the igr-tst amouht 94 per cent. : required the amount of ihe netpioeeeda. An». £49 10s. com. ; J&1^95 15e 4d. net pro. 19. Purchased ^oods for my employer, to th • atnount of X654 14s. 8d.rand seat them ae e w w U n y to bis order ; imokhi^, cartM^ and porleragei £4 Ss. 8d. ; commission on the sum laid oy^t S| per cent. : rehired the amount ^f the anvoioe. Am. £18 2b. 4|d. | com. ; X677 Os. 8|d. | am. of yiL INSURANCE. Insukanob is a eontnct by wbieb the iasuMr eti| s Is m ■^""^^^ililKiMt^mm *>^pfi|ff*«- l45*- = f ?:*P K,y t f «N«I M*.Aa^2tt^^i^*^^ on receiving presctnt jtj. ■;:.'-t: 'i»im>iKimmnH^!^m. ^^mT^^". . . ■'^■■I fO'" 6ooi 4179 «N||i|id| ftir i»*^^< *^, ■ »ii a-^/--:iv?i; •It f • ..:r ■v..:;5pr w^ •■■.' •*, ("-■:» f-;..,^. ,--s;p— M9^ n^^mmi r-v '4MI^'''*M ¥ \ 1irii.tiitii«|>m£V#ordi9l^'^^ f^^yfUmg & Hm v«Mtat WKth of a but of jniMr ijSli, 1 " Hy |f»jt|M4l#«MHrted tUl the (by il M |Mijrii&r§P .Wf M. i^.. 1^. ^ tilt jBUiM|,a»„MK!|^ JflSf'^^Nu#*8***k» diMoont «ii44iit pfo^cedt upoii « bift^W tejtlMnee,ftt5pere0nM hum; jlif^t?;i^ii#lMii4iPi!w l&vj.A*lill».dafeotttti^id pra«eedi»«tS ^te r mwrn^"- ■ 4^ ' ? 1 x; ^1 1.1 T.' i.ir;»'.-'i<'«. ■' irUi'-h} ■^'^' fMl#tU#; «M ' Ifel^bMriht «M4t MD'Bao thefdM of 475%attii|f«id! niM^i, 1h^ kft«rwtf at they ef feed to ntiKe oiiepa7iiiefittiiM'^«h«'W*«*wW for M|£^«« liliftiidawft;/!!: B-^i tttt^lbr JCa84, doi mSO dajv ; i^^Skfet^biil itr#W«#i mSfiOtdayei et bov^'i"^/ ^J« S;^ ie indebted to B. the turn JiN«7fi^ilRrhiehiw»^be! peirftldrilrfriiff lit f*r*'>"'«'*^* lKi|pe»' »0d i^'tbe^tod of S Sitt^4oM0 Hi tite^ end pf(4^j*^r^. wh«t tiosi onsht tie ^tbllHfedlWb«lted4lione piiyineffUv ^i:^^^;^r . ..* t W^ Mtteh tee, at 6s. 6libqiei^.ill»ftld if fit^^ W4|liifei He •m Liafleuia. va&uL ok ■ ^^ •nofotil) at 9d. pei ' NHwitai'l :-•}' sM jtlilli'rtiifiilllii^ t, ' Ip^I liiw»it#>.4dli pyijiMrfo tew irtBiiii liiNii ihiiiil^^fldiilf Hol||Hl|>Jpi».f| ^jMpipUoii : how much gin ^ttmtmmmSh ' '■ ^ ^^ ^:wrJ --■■**• ..' ?* 't'. -I i- f *> .ir**-!**: 4 lift *^li J|1| gtHlilii J4j flWilwA 67 owtv ^t^*^, 1^-**^ ^ rirrttniif ;-giitifiii ■ |^i|ai».di4. 1 get, m4'^iM 4ii%U ooif ■9^9i»..7^ «l< rK.^fi4 r^hprleri,^. has dO yai!^* M^cfiM h)^^Mm , ij»\ 4^i0liMi«d^rllSidoxeu wriaUB iboeii, at Taj 84 a^ pcirk ^tfmmmmtilkifi Mn.mmj poonda of eaeh did I meaite f . I%.^1|im6i»td)l( atoekiiigaiat^^l^^ Qmi||i.«|fMkM)gsta^ iM^^Sk wiSr iDf.^|rilifh ot^efii waajlmgahilaafi'i n? .:' ''4^^iMiiltP^^'^ |188. 4id. ^ yardi hoar mofh ch^ ihAfild iffaeeMlittfn f« <: at 9d. per lb. and flax at i.. ,4df in3 p fo£^ t' .V ilaa. 363 A lli fla?r, 11^ aa^lMiiM^tte^^ for^iil^ M' Ns. pet at., and bnt^r^f HK^i Mint it m^^tntt'^am. im. Ut^Ji^^mmn «, lof eiiM^^ mix ^„«. 47 1|^ ai bi^eif 10^ / d: JMlt 57 enri. of ■ogtr, at X4 3i.6d.pMr ewt, mmk toM f #r SiMtiae^ywdtMiiiKlirat Si. 8d.: Ib# lii«fil^ - 4 JBJoIcI S57 yards linen, at 3s. 9d., and loat Mi M iirlpightat peryai««t->*^'^'^ .-'- ■ ■ Anw, m'^'' ^llfa.: 1 13 An^fiirittiiiaii, at 3ii7d^|ierpil», i ^i^t #dhv the; liiifNri^^ '^ jli^ 1^ 4. liK, Bf liiiUng angar at S^d. fcr Ib;^ lirtiW 1i«# biB<#boi|lil ilhSl4s^Mr:ialtfe4^ kMil^iaBKS^ wiiitttqa»iifil^4ld I^iiV^lf^t '' 'r^rnW^rt T■%^tIf^>«'>■;|u.-al>«.!^if'■^ik4^l».vMl«#t>»iqlfe«W^ •4" Ai^«lil SSI IM^"***^ at 3a,10d.,and sold it at2^5d. / MgiB9|:&dtl0lrlmlidlildi4•^feld■e.onit^'''^'^ .4yitiA'>ii^ liii..44< Onm^^^m^ «i. to low««l^Ma,t / u* j^iife ii*^ iCiill^ill''^ 6i¥eW tho mim^ Mt, ^iftid tlie Mfit tii^ , ^llf :^»bprdoti^^4£:p.ind^i^ |it^ a|p.;^i %,p. . ipr ifn^,miLfmii .Mjiipfc i^ ' ..-r^aii IV ?5;' .S-^?*li!!S?^'r*^i^^fc)s tlrt^mf-#elfeil«tlci"l ^;»'. l^n>, ':i^r;fh-.iij V?.Uov{j^;f^.iiiii^l^jpj, / f^ifL. :?f *^» with •!» mto pcJr oent^^diii^^of i^iii «&' [to^ I>er cijiit. «n «l^, Mieh 1^ am atlsla. ^ • whiit' vts'tlle prMie com ^^ ^uii^im* ?t^-^ - ^'<. ..^^^^ 5^** J^IxMt^ by|0ni,jgl^H,^4i;9d^: #1,at was liil 0' ^omiMity iyrnuif SQAree. I ■oldV«liallt>i!BlnbiiMii|[t siMli urn ^at Afterwardi iold at 4a. 6d. : wISal '^MODf |iii| 'm faiihed-^pieriibi^lijf «||0 IM^ * - iii«t: 4f|il dl; loifc dslfjr tl. I^'the whole nlia dr lotf «nd thd liU'fo^'i^ toiD4l%liafttt whole ii bought amd.vold at. ' '^ ' 1^1. Aa tbe rate la to JW, ao fi ]lhe J^iil t6%^ Wt;fi*i^f f^HiRt pffeejp g^ bj »j|i4t|^g tN4f^0r|ii^ fhiiting 'the loaa. . ^,'i^' 94. By aettiag gooda at 5 per eent profit^ i giinedlC^iiftk : #«at did { pai ftfrthehr^ 'JliM. «B96 priA «^' 95. Sold 343 cwt. ■agar* at 3 per eetlt. pt^tTitad 'i^ayitt £B814ft4F;wbat«witU'boiightandaaMiitpef!N^ ^ .m ^m* i^4i«Bd.r^,h6oghtp.;owt.4 J^>7a* 9|4^ |f ioli|i. liwt 96. Bought iniMilm at 5a. 8d., and by aelling ilifAiudii^i4| Ifir oenti proiSti>X|^iifit,i|Dd gaiwedje33 68.8d.: whatquantiryrdidlieU^ 4#«, }^ j|l|h|^. l^ifpeeeent. mi hi .':r *'■•♦ «■■•-, iL^i .'J Id flMtt ll|>fit,iP€l atil giiiitaiiiiiM'lii S^ Af%ftftrof 4800 >iti left taw b^mluMlMkUpiitsr Miiit#ifil'M«>«xeealoii Ml dlibwtliW5tt#MD£ fSVirtiiii 4(^1 iM^llinvdll did the 4rjriHik«mtMVt9f An^^mie'lMrf:'^

r:j «ii^ _cio« Mi>& -Ant. jeaOTO pwiBiit cipitdL ^^^.'tA gMUfeiiiiiii^^ kit 198 m l»d#ti. of oldMliiriiiM lil tiddfAr tt 4ikM. j^ros.^ ind^lMi aiij|kiiM04oiHl*;J8iii8rtMi of iiitt^ ^»^Mf d^^ 10 df&t^M(|iiind^ tt^ dm^f^ ^i%«%«)>|M'^Httll«ildMOt^M^«l yiML stlfi.'l<9|di liii^yird ; «o g«r In milNP OMJiirii k^^^ iCtfr per^oiiV tllirl»tiic^ liatf in te^ttt^es I0#. it^'tfkiKiirt filiit' j#«ttlity «f Hfioli siMNiUlil «^i«et^ . '■ nr.'«^^.>^ i?^,^: "^;^ - '"^'-^^ ^ '<^ yAmt. 864 tMS'l blid/fiii^«M«mVS^«iftM-^^^ ^fd^;]^ ii«nt iM; aifo#«d «^ j^iKiiit. tbr eonimiiiiiik tajT W'ld^^liid dill«ii^ #ll«i la' l^'tn^bm^, MBMiilt f^im^^MMmi :^^ inedi wA^^I^'^W '^f i 't!?^ :?3V^.* H i; o s jyir Aew%, 8 qis n tti^ m li d^."m\ .iipuiiiii 4Uili iwr piy faigi jht in*4tl;># '7.>p. i^.' ■■! -•' ilriMMifAh».tMuili hjL^ ,JmmiBt.fkk^H ,JuUi liiildlltfltMtt: LiiPfiiii*44iMiitfiMi«i 4^ ^Um Mlf^d^oHdr A wril 30 ftlt4lili|^ 6.fMiliiil|aiiir a «li^i||»^4l Nn IM^lli^i^ tmdlt ft. tUalif )x ilii«.i BQlidiM^n^ 1|^ UilbiSr^^^ to iMuidifidea.AiiliWfta^iiiiii^ilbiM piynilwiti tlm JttA* flia>i J6>>rJPb.> thitt tot S^mA^^' 4pt uiimiltipriErimil ^<$4i; jMie nui!^i!*iC.;*#y»,iWQilPlH»ff «!«»#»» #ii tile i«iM>fCtqfii9ift'4lif iiiinitein i ?iua u i^^cr mlSvftliiilttorld oiaM»^4iiit9Rt 4iif^ ai5| liif li«h «Afffii. \.. 97. Tlirae gardeiiiM, A. B.^ikiid»€r. ih»;niis iNimffbi ti|«««^ oi pmmhfttk^i^ limofilii^flfuii tnNiimtto ^61190 iwr annipi. J^ISilliM^l tMiq^rM^ir «ini«li,^oi| nwp liillit jMif 4^^^ i-illnm . M^'A.'NIiiki iMr fli liUMr at U 94., nMk lM|lf«i#|ls MnMVa 1^ 84f.|i«r.i^i how wMi nip i|,M«#i«L(^^ ^f rtkpita^^o^lfn, at U 4C|»affaf#,»ii«t| i» at 11.94 par jard: howiMliy jard^J 'l&e itiondar wIm iM^t Mf^rd «a dialiiidi. 4 liMt high pR#ot^ ^maa ahMwtnqiM^ m t^M of Jfe cAL>faiui 9e'«alloiNr |in, troitiiKa^ 6d., wfaiafa Aa wiihaa ta^iOaichaBga with l;>ifticwifM Wortli^dJto. pMrda^aai httt:^ dtmat»imo4Mm iir hia^siriBa>ia hairier t^holr oiliehvahoaUl 4. damted^r liii gini laoC t»be a ioMr, and how aifieh:«riila ahottU bft«at, fit ititat' ^ /? ,< /. . '. <^(v> ^ tjT ..t ' . J|«ft .374 doMttiat ;lTai>aiidKW 87. The capital of a meroantUe hoaae ia diaid^ iolo 99 •^^^yhi5hA^JitaVg.,li, C.9, and p,9ahaiitt; Je979 S^S^Kra ^^^^^^^^^'^ '}m^^Wimk t&iihiroBieter ttinda at 30|iibhiHi,lMifa^ii#!lfti^ ^'^ini^^f^^'^^; if ^ ao^aei&f ajiill'^^^ llif,''liow^liiiit tb^ waiiht dr aS'liHMp^^yiitfS maalload? ■ ^ An*, Uto&mHi^ #aa;a tk>j^^ifiiCollaJ&t IMii^ thottfii i^ tha lapei^f the ttim^ MnA^mmSk , ^,. -jyiiii t»at al>ir th<' ''M it i > iir df 1^^ ' ';;' ii''''l ^ — — 1 '.•W^]|Mf fwAr ,.' '. .n'"^ >« 4# i i ^ (^00 jungly 'iwli^M 4 •*»!>« jBHii:r€i|Mr m^^. ihiM 9d otiiMi, dTk^ihi^ let ekw. i^mon, et l3 18e. 6fJ,. J5 yer^pji^^, ^ S|t 7*, iJOj hrmifoloMi^el^^, pivurpnce arid ebergeeofsbipinng £4i 1% fotwWMfdi* nejiper.n^wwnt pf,i»lM, wat|X9440 16af»f|d.: •ie^re4tlmfi«Bd 11 |i|>ee of nyHa, ivhieb coillnm iB81 lOe^dMl* pipfB, iiid IrhiiDb #eNiAbe«lle< iilto 59. demfjeeeh ; hoUlee^^dfotber ehelrgee>9e. 4d. per idiweA ; iik aeld' oai» JMlf of ^it}«t l9e.^d.M|ier^oieh, end 'the other ^helff jet 131. pelP it^9z .flu*^ ^|#ii i i r< »M i<» t to ind tiw §Bi9fjk^^-9mmmh mm the MMMI liiSMti a ' iH oalM PrMtiMtt HdWMwq^etiiMitia PraotiMiolftdt Wbal Vf tke aliqiioC'^ftrUi •! • fMllil ^fJi.fluUhif t 4be. WM •■• tkt tlMiaot p«rti of a owt r or #^ t an 01.1107 ^ ^*>*" 1^ wioi of ono is on offH pP9i qf :» fOfif]t#A|l|(a|» or pound, li^ dpjoaflodlliopriooof ahirtonoiiiko^T Wlioa the orioo eon- MlVl^iMind fanhMM^l^WOTOtt |NiMoriilt|qiiif, libw Ml jpAl mooed T 'ivilrthf iirieii e6ni^^ ibiWii|ei>Mdi ondfaAhinfi, wbildoyooUiondoT dbo* Wli«t#1]re'Mlli«li iUMTMi^ee onvCkodi ettrntattolf-ooUed?' W^il^W Aiiide 'dr it^ ifi^ d^^a find thb eif Miy^dooAtiiy of itook t Hoirido yon And hoiri«i«oh sld«^ ^ may be bought for a given eom ? How do ycio #id*1llil eeAO^olii^^ inteMift arJeiiK8i<0iii» m0pfy«invWe4 iiii>4|e i^a^^t .iWh«tii ^ the meaning of DiecoanC-7 Wbt^mlimAmefmmA «lCiiad|n^ What is the comnioa way, M^ny^ }»w}»mi 4i^^^^ m§% |e;|hie a^tme and iporrect method? ilne. No: it muies the diii^nt aWtte nidre than it baglii if) be. Wh^t ii tM^e4i|. ing of Eaoaiion of PnynienU? How clb jtHk 1m tHe^l^aated or equidttM 7 What^ia the meaning of BaHorl Hm/f do you ■olve questione in Miia role? It there not«a ralaof ft««t MrtO eommercial impotltnee caUed Profit and Lose? Am. Yet ; by it the merehant ia enabled to calculale the gain' or lose per sent, prime cost* filing pHee« &.e^) upon etery transaetion in h^nihi^rsiff __ . ,_ _ _„ e^t when mi^iam^pi&m JIMMtUr loei^lt ate ^l^f «^ do you find the sellhije pri6«$^ii%eiithe^Mtb'jii^ient aMd f^Hii^ *>,>- 'ifv '% f-f p .»(. ''"'^/.^ V l-i'i'' ■■'■ "> i ;' - ' ■• i^*>^**y*-»y'*ct<»ff y yH>s» ;.' 'i f ■■ i'-;ijnil^.:iv:*l__.^-"J^6|||p^ 'lMtf!fil&liieffl:,:|liptf 4-. ........ ;k:; ^: j.-.^.v ,..ii;-.-:n;A >> ^ iniiB ntitt^ber b«|6W the l|ib« is palled the liiiioM^ater, beeanoe k deikomiiiatei Hf' ahows iiito *how tmmf paria IhB'inlitger ia liiHdedj >Mid^ die iiiimber, abofe »' called the ntimUmtor, bciibailia 'rabuiiieiitaaor aiiowa ^w manjbf theae part#'the fraetk>li Itains^ < IFhe nuiiMwUmatfd deneninator are e^ad th».taiait ;1^eii ate ipf 'm 7.,^ •. :;i*.n;u :.v v,V,^ 5. f^ibi kitjftmrer fniiiiin ia when the nvMriloir i««^ to or fleeter difW'&e^iiihoBtiinatbT^ as I Jl; ^^ ^ ^ ^ $. i <^*iM«eii^d jf^iofi eonaiii!! W two or jBiore fr^Mtk^ 7,",^^^^ consiata of a wliple niniher l%IrA^«iMRp2e«;^^^ that whieh haa a iiraitioil «r«a *--'• *^ ineitheror hothofitaterma^aa a. r uwSi ««Tl??^ i .- :.;.j- ,„ ^' — «••■ ^t or -^'or^ .i— ,:f.:-^:-■ ^ 'Wheii the^by^^raibr ia ^^al io the dei^tMii!^' ia^dl^the iit«fif«r; thiia,|^l^ ^. ""'"'^ '" \.'lhf ' «MWar»toir,V ia.grafi^!i5l^tlMJi«|afer»M{^^ -,,;; yiiii b<^^ V ,<>->fij'j>i; X t|i6'»fteiif]i rybeetnoe r,beiteiitti B fraetioli th».tiiint r le niunBer I. . ■ ^'f- ' ■ ■ ktkttJMTva ■'.• '^mimr MBKniilttr* n Jio^ jgwyRg|nnM||^r 1 f.0',,liijiw( m U^tSt' R i^-__ii^ fo on, always cKTiding tha nazt diTiaor by thttetttttiiftdiH tin nothinf n^niaii^f,; ;bft::]|ist ^ipKir ia^Hia mataat «MHRom fiM«fiir«; by which difid^ the temup of ijb» uaatum for, tho |-"-s 131' c.a#«78)J^j:3 ,» i ,» 99)3ife(3 29T 'vTH^air. ■5! i^!> I • ■' SI ?*ftl|i •• v*!? ptf : 18 .J '(<:, ^■j>?' i -:'^'-i j'liiloJ^-f""' R^afse to^ieir l^ai^ ta^ii. I. 2. 8. 4. |{» atti; 4111 ana.. ^^ t^FWff 8. 9. Ina. i Ifel*. .l!i^eA\tlM^4f»yDV of ,«^^ :M<)li«ii "eiiidv i»ilb 5 or 0, di^ b3^|fj«i)9liai^ jR^tii an even hjiftibfef .. ^,.^^- . ,.. ' or cjphiar, divide by 3 ; m0^ theii ar« eipben at the en^ of lMtt|^'ciQt>ff Mkinaoy. aa a)f«r%oi3Mloil to both; and when Imy 1^1^ win #n^fe^^ wmmm niid dea9Niinate»i wiMloii^aryiiMibflaViiiliyidf i||»i|| Rednce to lesi terma. 'iiiftC' I tf "ia t r(g(M=:» *f^ w .f^l? mPm^PpWiPl UPww^^^^iw' ''Pi^^^^^^^P 2. .v. ans. 8. a. W. ans.6ff, \ CAiS IH.^ To reduce a 4:m^ w*io$M. 17. V. w«. jW,f . 6. »J«. arts; 1% 1 ^ii?^; iiii^^W^ ilutnber to an iiliprop«ir .i^^f' .:' Role. Multiiily the #>|Ur. iliimber by the denominator of the fraction j' to the produotladd the numerator, under which jplaee the d^iioiifiirtator. ' - ^^ wbgle number is i^uced to the form of a fhiotion, by ^^ft^ng 1 foir its deiioraihtitor. . 1 ^^ *. . ^cpttce to improper fracti ^ 4'?y*i<»?»^"W*>i 5.lf^ itt2A'»«iiiiin& ' 11. ft2du6e 11 lb a .;^i^ %!^I.1H^;#8??^W- litor, and all the denominators for the denominator of t|i simplf; fraction. ^.».u.f* '•^ ,.;,^^. .m'f^f 1. t. 3. 4.: 8. J:oi j^^H^^^^lg^S^m jJ[k^M||UMAB Jllkj^AMUMM^ flflv' jH^^BPPPPBHr -wlf^rnKf^^^^^ .^^^^WW^^^P^ '^^^^ II, ^iV jijr) "«■; 'U4 vif ■:or Ans. 4« « .OF ^ Of »• ans* «, V« 5.flfof|f «>f |«f ifi*iHi^*^ |10. ^ CaiiV. To m^ppe fracticiis of |iieront„4eiifi[^ others it ^iiA Wciei that hav^ a comtrton ^oiM- "' ^te: Bo^s^ee them to sinble ¥raq^«nf »ihen liiiiUiply each nvineijlialiiifoairiheddnpininators ci6ept it^ own, for the new hun^eratorsi^ftndj milltHpAjl all the deriomlnat^rp togalfter ^ a common deoominator* .^ , • "^ i RedQce 4^ if I -anKf f t4 a commonly the %6r»^p$i that which hae -iil denominates ,^,aie^llYS«lll^,*vf^ -.^ ^I'^^^fv.'dt *s^^jjB i I ir-t V.i -pir ^ fkMtioii^W'ihe d^miklbrbf the«tller;rfortfa*fukiplB^«ti6ii. n ' j 'B .,,) '^EB4jilee3i.to«^.' fraetioik { '! Isfec! / MM metioB. j^ -Aiw.,?}^ 3. B«M^^^1fl! ft fumple fractipii. Cam yilr fl^/nA^Qfi mc^om ftom one d|^[i#iD|»ii»i|p 1p ^^IMridK/i l^itooi II lei|i ntme to a greateC),. |nldlq»lj i^ deno- Ji%|itiictil>y tjie nimbfjr «it tbe JeM that ipiakM.oilQ tlOII h lUtoii i iT#i AilliMr Iff 10. Aytri 11. ft fee. 12. f per. im cr* poanaT in. ewt* Ikiiiii* •ere. ■I 7. jArton 1*. liv ««ro ■''-»r>.tj IS. RedQce £f to tlie trnc- 19. Redace |4 goio^ to tbs tion of ft guip6a^\.(> I fraction era poiuid^ 15. • pound joan* 15. X joan. ..Ipomid. 16. ■ yird fM: Eng* jlO* ti ®'^ ^^^IT^ ^ ^ y^ 17. ellFl. cdlEng. 17. } ellEng. r elll'i. 18. I crown ffttineti. H, -Afggum, -erowo. Nifie, In tlw follovfipff quMtibni, reduce the giteii^jwiantity to the lowest name in it f7. fdFt.l3gt.;: ^ai^,* [;i9."lfgal.fimi. 20. 3 bos. 3 jpk. ai. 5 6fe7'fi. 23. 2ro.ll|poL 23.^ 34fleooiidf 94,-l&-li.i«|-Bfc?,^ qr. lb.tr. adMi htfnr. m ifei •O.*-"; i^n il •:.'niJU^A ?»v<;<» .,,,.,. ■iU'^'XiV-i •hcJSaP'r'i M%\^i r^.ur^i ] Zi-Th U' .^^tt «♦,' . .ft- {» <^'.V. '. are the ihietioni ;,oCl^Mrfii|6 1^ nnnieinitor of 'iliat fraction, wnch. haa the greater' 4rjMti(B,iliuHi^ pliod 1^ the iif%e;;'8 d<^pmi^tor, will^g||^e the yrjftilttjff^^^ ' ' .;fV^|i^er hip the grtotar-f alacu^.]^^ «♦♦: 8> . A4 V. i ^ a. T ; ;8.i. 1? '>!j8. *iipi 7. V 8. ¥ 9. V 10. \^ fnMHiiMl Dili valaeliy 16; * AiWi|,- ■#;■ *! V'' s ( n wr "M .ik .-c(< (^^KSX^Sff^MW . i 5X8X1= # t J.i 'V. -i»tn,'roBi!i 538 ^a^^Ji' 9. What if the sum of l-f-f+l ? ic^nJ 7. What i« the iOlftdrf+i^Hl+l^'' -^ *^a|. 10. w^ijt4h«:«wiiofij+fafi+iu ;^ :, |« ijRt JVbte It 'When mixed riumbeit are given, find tha fum of tba fraamiisM before, to which add ihe intege#tfl A ^ lli. Wliatiathi'aiiiiirof4H^|4|8jt, = A»t, |]^. :|IMiat ia thi«Wol«i4^4^1li7 \ tl M, ift WliatMthaqB^HM^|-H5A-Hl4i4.5^t» # ^4»ile 8r- When the fractions ani^ difi<^re^titimiaip Bnd l|lair value % Oik Vlll. aad add ai in C«ln{iOOiid AdUitjion/^i^^ ^ ^ 14.' HVfiilis the sum of 4 sfail. + ^ peniir^f iLnt^TdM 15v ' Whatis the sum of AjC + i shilt iiit^i 8fl^ lid. v| . IBi Add l^etiiet j^X, f guineai and | shh/itaff 7 1^dd^|felfterJd.,|rfhi!l}nf,4#,irooidoi^ ^ _ r Ayttlget^er |%wt. a^d | ttk Jlila *»%^ir4]»: Sci t^ iitia. 5 bmb^S^'^MIi - ^ v,--Aif|..---*-, I U ■; iWtl iH^il^ «f^ ^l»w i^ 801 elli EnM^^SIg FteM. of I eloth : Kijiju HaTinff radneed Um fraetimiii m In Addi^; find tiie dflto«iee of^e noBMiti»e:'"'-'H'^U '!-ti':tbJ-Nv V 8. mm Hp nhh IftM f^ f • 11. From sm i9k^ X3lt 19..;Fromi»)l|.tfi.1iJK6S} '£ '?- dwt alijf (ba .llitl*'^ .?;.<«•.■ l|.Rfn|)^ftonaM**i'ciiC^^"^ ilni e owi. 3 qr. i«i »wir^ qr. L4^^ *wd ft debt of T^ ^^ilMto upl qftftHifiiMt * -- IflL ii^*e ilMMf« 0f>AHpf^iWii ii>rOf SiNlfl,, . *7« ;' -^ "pviin .Hilt hufi l#f jnuMi-^f ^w^ii '(MMi v( IMPP* • ISi WlHrt iwit ^f • iMp iMQtiMa «Aw MUkiff | «f I'M ^^^ ft -. . iliii^,-4ft' 19. Sold f of j-f f of } of » gallon of wine : whut jpiui n- mtined? nriliM -^fp 9Q., What number is that to which if f of ^ be addled. Ihe •am^mbel? An§, ff. 31. What number li thilt to which if you add 71, th? earn wiHb6l24f iine. 4iV MULTIPLICATION OF VULGAR FRACTIONS. Rux.s.~-Maltiply all the nameratoni tf}|rether for the nisme- rator of the pi^ofduet ; and all the deriominetors together for ita denbniioator. Note. In Muhiplirntion and Division, reduce integers and mixed numbora to improper fractioas. Molt i by f. tV A-i Mult 8i by 5|. L What ia the product of | and f 7 ilne. f. S. What ia the product of f of }, and f ? ilitf. A. 8k What is the product of S. and ^ of V ^ -A"*- S). 4. Multiply 7i by -^ of 4 of 10. ilne. d7f. 5. Multiply I of 7|, by ^ of | of U. An^. 1 jf. 6. Multiply i of I of I, by 1 ^ ol 3 j of 1 1. iftne. 6JUI. 7. MttlCii>Iy 7|, 4}» 9 ,> , and 9^ iln«. 2895X. 8. MttUiply 3i, i of Sf, 9^* nnd 3} of f ^jm. fib. 9. What is the value of 20| \on$ barley, at SOs.' 8d. ? 4r«- i^7 13s. 4d. 10. What is the n^alue of 3^ yards, at ^Is. 3d. p^i^ ell £ag.? Ana. £2 18s. 5id. 11. ^What is the value of i yard cloth, at ^|| per yard? Am. lis. 9^d*i. 13. What is the value of -^ aore, at £2^ per acre? Am. 19a. 6|d.\,\ ^' .4>iHi& What is the value of 17i^ yards, at 7^,s* per yard ? ^^Mr, ;■. v4^hat is the value of 37 J ells Eng. at 5^d. per yard ? , . Ant. £1 Is. 3d. I !9fbit is the value of ^ oc. silver, at 463| per lb. ? , -^m"^^ Ana. 4». Bid. I •' ""' 'H \, : ^ Ant, mifm mdii 171 ITiilft Ibt Tdm of 4iwt a ^. 14 Ilk at Tiik 8|4 l^^^Y itiM^ jei7 141. 644. 1 DiflSION OF VULGAR FRACTIONS. RvfA^IoTOTt the difiior, aad proceed m in MoItipUMtion. IMfidelby lXf=fi=lAani. Divide $4 by f}. 7. H-^8. - -«iif.jyL. 8. t9 -^ |. ^iw. dsi. 9. I -^ 5|. Ant. A. 10. 76| -^ Se4., .tfjif . «rft. 11. iof|-Mof|. \4w.|. 1«. j of 7|-ri of 4. .tfiit. 6iJ. 19. If 7f yard! of lawn coit SSfa.: what in the prieo per jftrd? ^n«. 58.04d.| 14. A form of 17^ aeres wai rented at X14X : what waa the rent per aere 7 iifi«. I6s. 3|d.JbL 15. What ii cloth per yard^ when 7 pieoet, each II) yarda. •oit JB54I T Am. 13f. 4id. 4 16. A man performed a pieee of work in 6f | days : waat part of the work did he perform in 1 day ? An«. -fj^ per day. 17. How many Btonee, eaeh 134 inches by 7|, will lay a kitehen floor 40| feet long, and d3| broad 7 Am. 19S6 4{i stones. 18. Divide aihipof j6980^ value into 3lf shares, and a prize of J61000 value into 42| Snares. Am. JC45 158. 3d. ^, and £23 9b. 3|d. iU 19. Divide X160 IGs. 8d. among A. B. C. and D., feo that A. B. and C. may have eqaa! shares, and D. f of one of their shares. ' Ant. A. B. and C. each £U 13s. 6d. f , and D. £26 USs. Idf PROPORTION OF VULGAR FRACTIONS. RuLB. — State the terms as in antegers, and iQulti||y and divide as directed above. 1. If } of a pound cost ^ of a shilling: what Will lb. come to 7 AM.Yfi ft. If i of a yard cost 128. 9d..* how much will d| come to 7 iink J^l ISi. *T a; Iff of ft pmmd Mil taM^f wlMlwait 6. What will be the priee of Ij^ ewt «ag«r, what A ^ * owt ooat ^ lif. 8d. T iiiM. £U9 ITi. S^ | 6. If 3i yMdi, whieh it l\ yard broad, will nal^ mi^9k alothei : how nianj yarda will it take of 1| yard wide? dAtif^ 4|}tayda. 7. What will -f} of a ewt ooit, at XIO 4s. 9d. per Adder of 19iewt7 Am. 9i.4)d.U 8. If I gallon of rum coit 13i. S^d. : what will 9^ galloiia eoitr An*. je7 8a.lld.t 9. If the Talue of 1 of a ship be je99U : what will I eone to? . Ant. jen944a.3d.| 10. 'A friend lent me j6454} for 61 montbt : how long amat I lend him J6304} to ditcharge the obligation 7 Afit. 13m. 19^Y dayi. I U. Boaght I of a thip, and told | of my thare for J6300 17t. 64. : what it the yalue of the thip 7 An9, J6458 9i.6id.4 13. If 3 men mow } of an acre in } of a day: ,liow many acres will 6 men mov^n 3| days 7 Ant, lli acret. 13. If 4 men can finish 12| roodt of ditching in 3i days : how many roodt can 18 men do in 14pf dayt7 Ant. 356^ roods. 14 If -a regiment of toldiers, consisting of 975 men, use 17| quarters of wheat in ^^ of a month : now many solctiMS will 71 quarters serve 3^ months 7 Ant. 50 sddieni. 15. If 364 meui in 5| days of IH hours long, do a piece of work : in how many days of 9^ hours long, will 30 men do the same 7 Ant, 59}f days. DECIMAL FRACTIONS. 1. A Decimal Fraction is always a unit, with one or more ciphers f&r its denominator ; as -^ ^, Tinnr* ■ 3.^ The numerator only in decimals is expressed ; the deno- minator being always 1, with as many ciphers as there are 3%iifes in the numerator. '^Ir Decimals are distinguiehed from whole numbers br a poiiil/oo 'the left 1>f them ; thus, '5 stands for X, *75 for -J^ "^Mm^r and -4356 for j\^^. . :.:, H 3 m * ¥ -: : I ill k1 liptMiltfl^.ilii point ; those on the left art wMp ■milpi del t^p m Ultirii^l U9 deoimalt ; thus flJ'AhM^H^ . lb IS^bilrf «m tho rirht of deoimala do not alter their taliMf bm bebf ;plaoe4 on Me left of them, with • point prefiMd» defTMie Mm fafaM in m tenfold proportion. ^ %>.->4^ i}fl^^^' ®' Fmt<« decimal is one whioh exteodt only fo a wUii^ted nnmber of places, as '5, •195'»: fte. X JntennMals deeimaU are those which extend odii^nir tmrnp^ aita, are oalled rtpfatsrs, when thetj always repeat the sans fiforf, as, '3333, &c., and eireulatet^ when two or mora figures aie oontinually repeated, as, '434242, ;|f2394239, Ite. ' The oolttioB of decimals will appear from this tables 7 6 5 4 3 9 1 . 1 2 3 4 5 e § g ? •a I Soie. From the above table, it appears^hat deeimalt decrease in the tame t«in(i^d proportion towards the right hand, that whole aunibera increase towards the left. To express any decimal in words. Hau^— Pot 1 with as many ciphers as there are figures i|i the decimal for a denominator ; then express in words wbal that flraetipn is, which will be the yalne of the decimal. Bxpress in words •5---84— -07— •453— •025— -066— '258t— .0074— -40612— '00050— -384051— -007006— -0000508. To express any decimal fraction in figures. RoLX.— Express it in the form of a vulgar fraction ; then if the numerator consists of as many places as there are ciphers in the denominator, set it down with a point on the left of it. But if the numerator have not a sufiicient number of places, ciphers, with a point on the left of them, must be prefixed to tiijppif the defect. Express in figures — three tenths — twenty-five hundredth piirlli— s^vtutyfive hniidi^dth parts — fivb hundredth parti -^ ■btt^^Mfen tfioasandth parts -^ one hundred and forty-nim htmdiud Ihmiiandth parts ^-^iwcnty-niiiu tea ih^ttsaiidth pivfs MUMNPS 4 ; ir ttlMf |Mai the or mora Kite. • deerasie lat wMo Ifjraret iv rdt whtl ; then if B ciphers eft of it. f placet, efixed to andr«dfh parti— irtj^nim dthpivfa ili fttti— MViiifeon kmidfiedtli partf -^iiliMtj-Hi — «M AMWMid tlira* huninJi and fbwiMB laJJIiilh fjHi. ADDITION or IxeciMAIA ftou— Place down the numhrra in aoeh • tentlie mtjr be under tentha, hundredtha under hiia4l*tf^ 44it in Which order the decimal pniWh«l itithe diflSBrance between 4, What if the diffitrence between 5. What ia the diflbrBnee between ^B, ,What 18 the difference between fiwt toooaan^th parts and ninety-nine 7. 83149 + 6-5307 + 904072 + 394-5196. 8. 7-385 + 91-74 + 80726 + 35 63-749351. 831496 tftd T'SiOeSf •54163 and 5*1241 70Q-41 and 98-05769 1 1-53376 and 9-647 6-1 and -0074397 seven hundred and fifty- thousandth parts 7 81-40536 + lt)52-74 — 63 + 2-475 — 34173 + MULTIPLICATION OF DECIMALS. RuLi< — Multiply as in whole numbers, and point off in tht, product as many decimals as there are in both multiplicand and multiplier ; but if the product does not contidn as mnrnj figures, supply the defect by ciphers on the left MulUply 23-416 by 6-43 6^ 70248 93664 140496 150-56488 ans. Multiply -51437 by -0175 -0175 \ 257185 360059 51437 1. 2. 3. 4. 5. 6. 7. 8. 9. Miiltiply Multiply Multiply Multiply Multiply Multiply 617-42 by -2764 by 174 by 62-348 bf •0783 by 3-267 967 •1497 -001727 •4617 •00877 -777 -009001475 ans. Ana. 2012-7892. ^ Ana. 26-5344. * Ans. 25-926. Ana. 10723856. Ana. -0360963. Ana. -000604476. Ana. 00079926. -06948 by Multiply -001038 by Multiply -073446 by 398000. Multiply -000798 by 109700. Note. ^ To multiply by a unit with ciphers, remove the decimal point as many places towards the right hand as there are cipheri. 7432-65 X 100.— 16385-43 X 1000.— 7436134X 10000. DIVISION OF DECIMALS. RuLi.p— Divide aain whole numbers, and point off as muny decimals in the quotient as the dividend has more than the divisor ; but if there be not as many places in the quotient, put oiphen on tfaio kft to supply tho defect ; and if tl^e diyidend dm ^ MMoavnmK or vammAiM* lH not M Buuisr P^Mes of deeimftlt as the diTiior, attiME tiplian till they ueeqaal ; or, hy annexing ciphera eontinoally theietO) the division Kij be prolonged till nothing remun» till the m quotient eireulate, or as far as may be judged necessary. •33)-7935(3 35 69 103 92 115 115 1. Divide 3. Divide 3. Divide 4. Divide 5. Divide Ci. Divide 7. Divide 8. Divide 2-3)-7935(-345 69 103 92 115 115 7-935 79-35 7935 7935- by by by by by by 417-8125 37-25 2^9-75 -5 by 00725. •23. •23. •23. •23. 37-5. 281-5. 124. 23)-7935(-0345 69 103 92 115 ^ 115 Ana, 34-5. AnM, 345. An9. 3450. Ana. 34500. Ana. 11-141*6. Ana. -1323268 ^. Ana. -00177217 Ana. 68-965517 Note 1. When the divisor is an integer with any nun»ber of ciphers annexed ; cut "if the ciphers and remove the decinnal point in the dividend as many places farther to the left as there are ciphera cut off, prefixing ciphers if uecessaryi then proceed as before. 1. 84637^2300. 2. 473S37-h463000. 3. 10-4639-7-1000. 4. 94 687-7-874000. Note 2. To divide by a unit wirh ciphers, remove the decimal point as many places towards the left hand as there are ciphers. 7436-5^100— 38I7-42-rl000— 2047216-7-10000. REDUCTION OF DECIMALS. Cass I. To reduce a vulgar fraction to a decimal. Rqlh. Annex ciphers to the numerator as decimals, and then ^divide it by the denominator ; if there be not so many figures in the quotient as there were ciphers annexed, supply the defect by writing ciphers before it. Reduce | to a decimal 8)7-000 •875 an0. Reduce ji^ to a deeimal. 400)10000 •0025 HI If f •Mh of the IblbMrMf imoimm to m iwinirf !» If f) l> li W*^ {• il, 1,1, and A. Am. •607G949+ AnB. •09772)5849+ Ana. '375. 7. I of f. 8 9 10. iof ). Jofi. l» ITT* •^fif. "Its. Ant. "096t5. Ant. *00875. Ana. "Olf. It. 6. i of |. Ana. '375. 12. ^^^ Cabb II. To redaee a decimal to a vulgar fraction. . Ruui. Make the j^iven decimal the numerator, and a unit, with as many ciphers annexed as there are figures in the deoi- mal» the denominator of the required fraction, which redaco to its lowest terms. 1. Reduce *5 to a vulgar fraction. A=^i *^* 9. -25. I 4. 135. I 6. -34. I 8. OOS. 3. -75. I 5. «625. | 7. .375. | 9. -078. * CUffB III. To reduce numbers of a larger name to the cleei- mal of a higher. ^ "* \ BoLl. If the given number be simple, annex ciphers, and divide by as many of thnt name as muke one of the higher ; bat if it be compound, begin Ht the lowest and reduce it to the next higher name ; to this deriniHl prefix the next higher deno- mination, reduce this decimal to the next higher, and so on to the required decimal. Rodnee 13s. Bid. to the deci* mal of a jC. 4) 100 13) 825 90)13-6875 684375 ani. Reduce 7 oz. 5 dwt. 13 gr. to the decimnl ol a lb. 24)120 20) 55 12) 7.275 ^625 ana. The qoeitions in this ease and the next prove each other. 1. Rednee 9d. to the decimal of a pound. 9. l'7s. 6d. - poond. 3. 19s. 8id. pfiond. 4. 7«.6|4 poond. 5. 44d. ponnd. €. fa. pound. 7. 7ik ewt 8. Reduce 81b. to thedeei- m»l of a cwt. ^ 9. 11 oz. 17 dwt. Ih. iO. 5 dwt. 12 gr. oi. 11. 7oz. 14 dr. ewt 12. 10 oz. 12 dr. lb. tT. 13. 3os. 14 dfrt 8 gr. Ih» 14. 3^Mi ^ jrnvi* 19. B^iim4 biH#8 fb litir. to th« 40eiflMil «f ft fr. 30. 9Sin.d-ito« 31. lro.33per, 33. 3 d. IS ho. Uk lto t I ffc 3 ftft. to Iha dtoHMl «f ft yai4 Ifi* >6fiir.5pob mile. 17. ft ift. 11 DiK. aere. 18. 7id. ibil. Oah IT. To find the value of a deeimal. RuLft. Multiply it by t6e number of timei the intogef eon- taint tiie next lower name, and point off aa many deamftla firom the product, towards the right hand, as there are in ^ given decimal ; the figures in the left hand are integers of aaid lower name ; reduce the figures pointed off in the next loiivw namoi and point off as before. Whftt is the Talue of J& -684375 30 ■. 13-687500 13 d. 8-350000 4 far. 1-000000 13s. 84d. ahs. What is the value of lb. -60635 tioy. 13 ox. 7-37500 30 dwt. 5-50000 34 gr. 13-00000 7 oz. 5 dwt. 13 gr. ans. What is the. 1. value of 3. 3. 4. 5. 6. 7. 8. 9. la 11. value of value of value of value of value of value of value of value of value of value of J6-0375 jB-875 £-634375 X 378135 je01875 JC003135 .0635 cwt. -071438 cwt •9875 lb. troy. -375 oz. troy. -004394 cwt. What is the 13. value of 13. value of 14. value of 15. value of 16. value of 17. value of 18. value of 19. value of 30. value of 31. value of 33. value of -671875 lb. ftv. •3097^2 lb. troy. -75 yard. -375pird. -765635 mUe. -56875 acre. •635shil. -61338135 qr. -3675 hour. •3875 aenre. •009589 year. Note. The two following contractions are of great praeUeal utUUf in decimal calculations ; a« thev approximate •ufficiently near the trudif and so simple that they can be performed mentally. • I. To ndoM riuUioffy penee and farthings, to the dteiiiiat Offt^. |HEi ' r IhH ' i' •r' ^ H ri^RUfc .:Tjd(6 half Um nainber of ■hilltiift J^ ili*^M dacni. mal pl«c# ;. tad the nnmber of farthingt in the raiiudnd«r, inoitiiMd bj 1 if it amount to 34 or npwarda, by 2 if i« unoant to 48 or upwards, and by 3 if to 73 or upwarda* will give the two next placea. Bedoee mentally to the decimal of a £. 1. 2a. 6d^=-135 3. 14a. 9d^=r737 3. 7a. l|d=-357 4. la. lUd.s-096 5. 128. lid.=s*606 II. 1. 48. 6d. 3. 78. 6d. 3. 178. -Sd. 4. 68. 7|d. 5. 188. 5id. 6. 148.3d. 7. 168. 6d. 8. 198. Id. 9. l8. 2id. 10. 38.7id. 11. Os. 7M. 19. OaL 8ld. 13. lalOid. 14. 48. 9^d. 15.118. 4id. To find the value of a decimal of a J6 mentally. RuLau Double the firet fiflrare for thillingSt to which add l8. when the aecond figure is 5 or more ; then account the aecond and third figaree (when they do not amount to 50, or their ez- eeae above 50, when they do) to be /arMtn^«j after having deducted 1 for every 35 in their number. 1. -825 == 168. fid. 9. -207 = 48. l|d. 3. -95 = 198. Od. 4. -681 = 138. 7id. 5. -04? s= 08. lO^d. Value mentally theae decimala hi&£. 1. 2. 3. 4. •403 •513 •739 ^•841 5. 6. 7. 8. •75 •463 •578 •795 9. -005 10; '034 11. -083 12. -09 Note, The pupil should now work by decimals, all the practical questions given uixier the rules of Arl4ition, Subtraction, MultipU> cation, Division, and Proportion of Vulgar Fractions. CIRCULATING DECIMALS. 1. A repeating or circulating decimal ia wiien one or more figurea afllBontinually repeated. 2. A aingle repeater is when one figure continually repeats ; aa •fiCfi — *333, and are marked thus 6, 3. 3. A compound repeater is' wiien two or more figurea con- tinually repeat ; •4242,— •fiHfiH ; marked thus •42,— •617. 4. A mixed repeater is that which has other fignrea in it beaides those which are repeated ; aa •28333, — 5-2321321, and' marked thus -28^— 5 232i. REDUCTION OF CIRCULATING DECIMALS. I* To feduce a aingte or compound repeater to a Tolgar fraclioifr \ Apptnw or oiioinMi,iiio ^1^ Roiii* Make IhjK given decimal Ihe numanttor, md ^mwMf^y 9», ti there are 6garee in the given deoimali the dendminmter ; whiob reduce to iti loweat termg. Reduce *i to a folgar fraction. i=| ana. Jtednce *^7 to a vulflrar fraction. U=^ ana. Reduce 4^ to a vulgar firaotbn. Reduce the following circulates to vulgar fractions. ]. •1. 2. •6. 3. •S. 4. •7. Ana. i Ana. f Ana. I Ana. i 5. •a6. 6. •90. 7. •io&. 8. •148. Ana. 9. 10. 11. 12. •962. •14634. •6*15384. •857142. Ana. a Ana. ^ Ana. -^ Ana. ^ II Ana. yx Ana. ^ iln«. -^ 11. Tp reduce a mixed repeater to a vulgar fraction. RuuE. Subtract the finite part from the whole, the remainder is the numerator, and for the denominator, place 9 for every repeating figure, with a cipher annexed for every finite place. Reduce '446428571 to a Reduce •3409 to a vulgar I fraction. 3409 34 3375 .^AL ans. 9900 rn vulgar fraction. 446428571 446 446428125 999999000 =ff ans. Reduce the following mixed circulates to vulgar fractions. 6. -254^29 Ana.-^ 7. -07954 Ana. ^ 8. -76^1951 Ana. ||f. 9. •5681 Ana. |J. 10. ^03248 Aaa. tJJIt- 1. 0083 2. 16 3. •0i85 4. -83 5. 416 Ana. t4». Ana. jf Ana. '^4* Ana. i» Ana. ^. ADDITION OF CIRCULATING DECIMALS. I. When they are single repeaters. RuLK. Extend the repeating figures one place beyond the longest finite decimal, and carry at 9 in the right hand column. It. When they are compound repeaters. Rule. Extend the repeating figures till they become similar, and when you add th^ right hand column, include what would htiTe been parried^ if the repeaters had been eit^nded fwrth^r. ^ Add 3(HKl0f^-f-ej(Ad 14'25^+-4635. 4fA = 45-33333 94 := 3«6666 14*95^ =: 14J25333 •4625 =; -4625 ' 63-71583 30-6308530 ,5«« d*3(^d383 ,st9 29-0064^43 494. 965-661^6666 ,f|f| 431-5967713 ^ 1. Add together -3813+-4S+-5316+-94734. Jn«. 3-27344 3. Ad4-83+7-4l6+-31855+6-35+4-3*8+29-627. iln«. 48-83531^, 3. Ad4 210-S+194-2i+850743+900.08l65. Ans. 1389-700431 4. Add 8-20*38+ 90468+7-365484-43-4683. Am. 68-O847I 5. Add30-62'085+6'3028+29-00642+365-6. Ans. 431-596771^. 6. Add 81-0048164+3-265 X5-07426-f-5-85. Ans. 951427302. 7. Add 39-0034+6-0526+82-682578+9-5218. Ana. 136660466971. SUBTRACTION OF CIRCULATIxVG DECIMALS. I. To subtract single repeaters. Rule. Extend the repeaters one place beyond the longest finite part, and borrow 9 at the right hand figure when neees* ■arj. II. To subtract circulates. * RoLC. Mxke the circuUtes similar a6 in Addition, and if the first figure in the subtrahend on the ri^rht of the longest finite part be greater than the one above it, add 1 to the nght band figure of the subtrahend before subtracting. : From 32-50^762762762763 Take 26042687568756875 in 1 a-083 1. 2. 3. 4. 5. 6. 6*460d75194005897 IfltS 194* [AS .t' »?■ ■! B*8353ld 9-700427. B-08471 596771^. 1437302. I046697i. [MALS. the longeit irhen neees* lion, and if the longrest to the right 38 It Mui^'smucMMiiPv «r 1* ^JrVOBB' 2. From 3«* From 4. From From From From From From From 5. 6. 7. 8. 9. 10. 69*4l6 931-3894 563-871 450-811^ 81-7175 34-^51 31-453 92-384^ 32-78364 tOie »H take 35-375 take 38-*6 take 3-4968^ take 8-58 take 73-56i take 5-47325 take 13-7^ take 18-674S7i take 37-8573^ ' A«>*. a2*9M|i Am. 44-04ld. An9. 893*7157i Ant, 559*37431 iiii«. 443-1^. Ans. d-1559^84w Ant. 29-3786018^ Ana. 7-72618d. Ant. 73-710^75091 Ant. 4-925^941 MULTIPLICATION OF CIRCULATING DECIMALS. I. When the multiplicand is a repeater or circulate. RuLB. When a repeater, carry at 9 on the right of each product, and add as directed for repeaters : when a circulate) to the product on the right hand figure of each line, add tiie carriage that would have arisen, had the circulate heen extended farther ; and make the circulates similar before you add them. Multiply 879-83 by -721 879-83 •721 Multiply 586.1635 b^ 887. 586-1635--^ 827- 1. 2. 3. 4. 5. 6. 87983 1759666 61588333 634-35983 Multiply 63-41*6 by 32-5 Multiply 5-683 by 475 Multiply -49838 by 12.64 Multiply 365-481 by -00325 Multiply -27185 by 1.426 Multiply -92937 by 1500 4103 144d 117232713 4689308508 484757-2^70 Ant. 3061-0416. Ant. 2699*583. Ant. 6-299635. Ant. 1-18781590*. Ant. -38766674. Ant. 1394-06^. II. When the multiplier is a repeater or circulate* RULB. Redaee the multiplier to a vulgar fira^tion ; multiplj by the numerator and ditide by the deaemiBttlor. thea *w t 'I ill ' Iff m '! M ' '\ ..li •N M mnttfm of craevLAinio ontiiAti. Malt 157*535 by -46 7 4 S 5)1102675 3) 230535 43—7 90—15 Molt 47*5ti8& by9M 9 47'57l85 -r— 337 9099--^37 370) 9990—370 73*51l6 am. 1. Multiply 93-25 bj*^ 8. Multiply 809756 by '6 3. Multiply 68-285714 by 61^75 4. Multiply 1725-175 by 6-4375 43-32d§5& nha. Am. 30.7516. An9. 5-39837. Ans. 419l66134l Am, 11105-8788313. DIVISION OF CIRCULATING DECIMAL& I. When the dividend only has a repeater or circulate. RuLB. Divide as in finite decimals, but annex the r^eating figures instead of ciphers, in order to carry on the divisiofi. II. When the divisor is a repeater or circulate. RuLB. Reduce it to a vulj^ar fraction ; then multiply by the denominator and divide by the numerator. 7-5)39-86(5-315 . Divide 5-37 by 73 375 7 236 66—11 235 * 5.37 90—15 116 15 75 11)80.55 416 375 7-322f ans. 41 1. Divide 4.19062* by 37 Am, -11342. 3. Divide 73-416 by 6-25 Am, 11-746. 3. Divide 169-3 by 0-5 Am. 3386-6. 4. Divide 315-625 by 11-53 Am, 27-3663^9+ 5. Divide 6129.5 by •9525 Am. 6434.8155737+ 6. Divide 379.375 by -35^ ' Am, t076-693693H- ^ ifffmiAWBtMrt ixnomk MPCWfiliiWIHWi ■IlftOUn 111 TtriAAB AMD DMIIOlJ I. What eott 931 owt aogBr, at J6i|V per owtl ft. Borrowed X|, and repaid f of a g uiaaa : how nneh' ia itittdae? iliia. 9a. 1-M. 3. Whether ia £^, or ^^-168135 of greater iwloe T An§. Eqdal. 4. Bought a penknife for j6*225 : how manj shilling! did it eoet me 7 Ant, 4§. 6d. 5. Bought a hat for JCf , and sold it for JC.875 : whether did I gain or lose* and how much 7 Ant* 2b. 6d. gained. ^ 6. Suppose I buy § of a ship, and sell \ of my share : what part have I left 7 y - Am. -j^ 7. What number divided by 3i of 7, will giro 30 7 Ant. 455. 8. A ship owner sold ^ of J of a yessel to one person, and f of f to another person : what part had he remaining 7 Ant. j|}. 9. A lady's fortune was | of | of her brother's, whieh waa valued at JC^OOO : what was the lady's fortune 7 Ant. ;e3100. 10. What is the greatest common measure oi ^/J^ 7 Ant. 4 '■ II. Bought 3*5 yards of cloth for J62 148. 3d. : what must I give for 37*75 yards 7 Ant. £Zl 10s. l|d. 13. Bought i of a ship at one time, and i^ of it at another, and being now determined to buy all the ship : required how mueh I have to pay for? Ant. -X. 13. A person left § of his estate to his eldest son, /| of f of I to his other son, and the rest to his relations ; the eldest son's share was worth £607^ : what was the value of the estate, and what did the youngest son and relations receive 7 Ant. je911 17s. value ol estate, £227 19s. 3d. to youngest son, jC75 19s. 9d. t^ relations. 14. Jane can spin a certain quantity of yarn in 13 days, and Margaret an equal quantity in 16 days: in what time will it be spun, if both work together ? Ant. 6f days. 15. Suppose A. can do a piece of work in 10 daya> B. the same in 30 days, and C. in 34 days : in what time will they perform it, all working together? Ant. 6f§ days. 16. A person having -| of a vessel, sells | of his share for il3l3 : what is the whole vessel worth ? Ant. jC780. 17. What is the weight of 15f hhds. tobacco, each weighing 181 cwt 7 Ant. 386 cwt. 3 qrs. 8| lb. I f'l «.l> m'i; n ;• ■M la. WMvitt laiyardffloth oott, At the rate •IM Midi 10. Sold lagar «t I0|d. per lb., and gained 7^ per otnt: irksl waa it booglit at per owt.7 Ant, JU i3i. 44. M. Sappoae M. hat | of a ihip, and aelli to N. | of bii share, and that N. adls O. ^ ofJiil'pBrt : what ahare of the ihip hat <>. and what part haa M. and N. separately left 7 An9. O. haa i, M'h i^nd N. ^, 91. Beduce | of | of ^ of ^ of y^ to a aimple fraction 7 Ana. ifj, S9. What 18 the difference between 100' and •001 7 An$. 99*999. 33. What number is that from which if you take | of |, and to the remainder add -^ot^ the suHi will be 10 7 An8. lO^yUr* 34. A. ean do a piece of work in 6) days, B. can do the iame in 4^ days, and C. in 3^ days : if ^ou set them all at woirk together, in what time will they finish it? An$. Ij^fX d^j$. 35. The diameter of the earth is 7913 miles, and t'le cir- onmference ia 3| times the diameter : if a man of 6 feot in height were to travel round the earth, how many yard» would hif head go farther than his feet? Ans. 134 JArds. 36. If a wall 571 yards long, 13^ feet high, and 1^ briek thick, cost J6343 15s. building: what will a wall 34f yards k>ng. Hi feet high, and 3^ bricks thick cost 7 An;< jC308 4s.^^ 37. Goliah, ihp Philistine, is said to have been €^ cubits high, each cubit 1 foot 7*168 inches English : what was his height in English feet 7 Ans. 10*3836 feet. 38. What number is that from which if you take 13^ the remainder will be 5f 7 Ana. 19/^. 39. If the value of ^ of a ship be £921\ : what will | come to7 Ana. £1194 48. 3|d. 30. If f of -^ of an estate be worth JC107 10s. : required the value of the whole 7 Ana. £4U 13s. lO^d. \ 91. A gentleman left an estate to his three sons ; the eldest got I of I of it, the second got | of f, and the third jei007^: what was the value of the whole estate, and how much did the fint and second sons receive 7 Ana. £8039 38. lOid. | value of estate ; let son got J65039 lOs. ; the 3nd, J63591 14b. lOid. 4 "-.. m" aostnom fijf ^^^ipltvAnoii. {| r etnt: 3i.44 . I of' bii >f the aliip idN.i Btiott? In*. 1^. 99-999. f of I, and can do the them all at no t«;e cir- 6 ftiot ia ardff would 34 yardf. ad li brick 34| yards a €i cubiti lat was his )836 feet ike 13^ the na. 19^y. will i come 4 48. S^d. required the 18. I0id.| ; the eldest d jei007^: Mch did the son got 148.l0id.4 ^fmr W^jy r Wh»t mwmt Ijj M»« mm0 ^h tiffiif pbw tiiimy Undt of Tolffar fraf^lm^ Wl 0^ iTjiiiiii^CB DraetioliT"i}o# ^ai^y Jtinde^^fim^elini^ t thtra t JV^htt II 9 proper fraction t What if «n lOipiOMt ft^^- tion 7 uf ti^at doei a compound fraction consist t Wbal ja a eomplei fraction ? How do you reduce fractiona to leas teimsT How do you reduce fractiona to their least termi 7 How do yon reduce an improper fraction to a whole or mixed number 7 How do you reduce a mixed fraction to an improper fraction 7 How do yon reduce a whole narobct to a fraction of a giTen deitominatpr? IIow do you reduce a compound fraotiou !• a sliiiple fraction^ How do you reduce fractions of ^i^i^nt denominators to others of equal value that have a common one? How do you reduce a complex fraction to a simple one 7 How do yoii reduce fractions from one denominator to another 7 Row do you Induce money* weights and measures, (o a fraction of m given name 7 How do you find the value of a fraction 7 Of twt» ^fen fraeiions, how do ^ou find which has the gNatinr value 7 How do you proceed ih addition of vulgar fraotionti How is the openttion in Bubtraetion performed 7 Row do you perform multiplication of vulgar fractions? How do yoii pro* beed in •division of vulgar Irdctiontf 7 What is a decimal mo- tiOAl In decimal fractions is a denominator used 7 How 'then are deeimals distinguished from whcrfe numbers 7 What if a mixed number in decimals 7 Do ciphers on the right handol decimals alter their value? What elSect have ciphers on the left hand with the decimal p')int prefixed 7 What do you ihean by a terminate or finite decimal 7 What are interminate deci- nittlsf How do you add decimal fractions? subtract? mid- tiply? divide? How do you reduce a vulgrar fraction to a decimal fraction 7 How do you reduce a decimal fraction to a vulgar fraction 7 How do you reduce numbers of a Ipwer name to the deqimal of a higher? How do you find the value of a decimal of a given integer? Is thei^ not an easy rule, for prac.; tical use, by which you can, mentally, reduce shiHrngB, pence and farthings, to the decimal of a i7? Repeat it. Repeat the eonverse rule for mentally finding the value of the decimal of a £1 Wliat is a repeatiA|f or circulating decimal? What is a single repeater? What is a compound repeater or circulate 7 What is a mixed repeater? How do you reduce a single or eompound repeater to a vulgar fraction ? How do you reduce k mixed repeater to a vulgar fraction ? How do you add single repeating decimals 7 How do you add corppound repeaters or circulate ? How do you subtract single repeaters 7 How do you subtrs^t compound repeaters qj; pir^^Jates ? How do yeu^ ii ft iMmMr or cirolil^ie t How do yoQ difldi wbdn, tfi0 iU?i- dand lui i| repeater or eiroolate t How do fo^i, difide wImb Umt df^Hi9^,ia a, repeater or ciroulate? • i PART V. *9¥f« EXCHANGE. Bxehangl^ it the method of finding how maeh of the money of on^ douiitry is equal in valae to anypropoaed ium of tkte mon^ of ahdiqer country. ^^e Par ofkxehange is the intrinsic value of the money of oiio naMoii» compared, with that of another nation, which is estimated by the quantity of pure gold or silyerp^ The Course of Exehangt is the current Talne allowed for the money of one country when reduced to the money of^, any o^ber country. This is seldom at par, but is continuqdly vary- ing according to the circumstances of trade. Agio is the difference between bank and current money, and also between the intrinsic, and circulating value of foreign coina. Uoanee \a the usual tithe allowed by merchants and bankem to pay bills of ezehange. '^^ayoof Orace, are the days allowed for paying bills after their tei^m' is expired. Note* A^l calculations, in Exchange may be performed by Jt^r^- poidpn, , |ii)4 oi'too,,!^, ehare. Aiu. A man'e ehare J616 16i., a Woman's £5 12e. 35. If 248 mani in 5^ dajs of 11 houie eaeb» dig a trench of 7 degrees of hardneie, 232^^ yarda long^ 3} wide,, and 2^ deep : in how many daye, of 9 Houra long, wilt 24 men dig a trench of 4 degrees of hardneei, 337^ yards long, 5} wide, and 3^ deep 7 ^^n^. 132 dayt. 36. A person left ) of his property to A.,* ^ to B., | to C, Sy to D., ^\f to E., ^ to F., and the rest, which was jCdOO, to la executor: what was the value of the whole property, and of eaeh person's share 7 Ans. Value of property jeiO,000 ; A.'s share £4000, D.'s £3000^ C.'s JC1230, D.'s £500, £.'s JC250, V*.,8 je200. 37. Bought i8f ewt. sugar, at £4'^ per owt., aidd' aold it at Hid. per lb. : what was gained or lost on it? )" Ana. jCl 9 lis. l^d. gained. 38. What number ie that from which if you take 4, the remainder will be ^7 Ans. ||. '39. What is the interest of £456^, for 4| years, at 4i per cent 7 Afl«. J6a9 le*. Id.^,. ^.' Four men, A.6.C ^ , gut a present of a guinea, of which A. claims ^, B.,|, C. i, D. }, but they find it too little: it is required, therefore, their shares of it in the above proportion. ilns. A.'s share 83. 2d. ^1 B.'s 5s. Sd. -j^, C.'s 4s. Id. ^y D.'s '38. 3d.^ 41. B. can perforin a piece of work in 9 hours, Cin 8^, and D. in 6} hours: in what time will they perfbrm it all working together? - 4}i«. 2||| hours. 42. -There is a mast oz pole, 9 of its length stands in the ground, 12 feet of it in the water, and | of itsi length in the air or above water : what is its whole length? , , Ana. ^16 feet •0. A young man received JC310, which was } of his elder blather's portion ; how 3 times the elder brother's portion was I of Uie father's estate: required the value of. his estate. " - '; ' ^n*. £1890. 44.' Wbat fraction is that to which if jou add J the BUm wmii^lt ilne. JJ. 171 of 9} Hours long, will ^ f;iien!l^|ii(4 jmoUwf^'^ ■1: J i S'?ii ;;i md to B* : nM PAI^^ of the in89rance will n^k partft0 reo«?e? T^^ "^ ilii#/B.i^^400.C.4;6(H>,p.;^ 11^ A *^|J2.PJ|ff <>i>^ ^^ ift^8t'4i 7®^!^ B90* iit;4| per cent, iMQ^tf ^ *t$ChrY : wl>M was the prino^ i4fi», ;6^A^ .4i* th^ ce^t ofH of 1^ meadow wai) £9 I9t^ : wNt wUilfO til M^ of I of ^ at that rate 7 4m. Xi Hs. Ii4.r^ ;* 4i» ir^7i yards of cloth, |i yard wide, cpst JCIO lAt. 4|t : i^bm 9^ 7| y wrdii «ost vrlken only JJ yard wide 1 S^, Bk 0. jmil D. working together, can $nifh a pii|e%iif worii in '8 days, which fi. can do by himself ii| 34 dayst «^/€l» iaiUfti lp what time cotdd ]>. do it ? 4a«. 90} days, 61* "XN^ QiOBf B< ^> «nd 6y* entered intio company ; E. jiMJ^liMNlclila fbfl^re of the wtock for 4 montlip, and elaitfMd ) of tlw profits, F. eonlbued hi8;liwr,9 moiith«« Cr. oontloQdd kit sto^ of 46559i for 3 moa|hs, and received | of the gain:, ^l^j^^g. and F.> stock.., 4nf. |J.*« J6440, 1.!f 4B39ai|. f, 99i|qx>se a wolf could devour a sheep in an home, a ^pw honrrMd « lion in | hour; and: that thetwoll etftilO imiiutes hr liimselfj after which the tiger arrives and eat9a)0og wsHil li^,r^ 'minutes longer, then the lion aririvea, Aaid all three Mi Ui^Dther: reqiiired the time in wbich the sheep w^l \f^ domii^ r 4ii». 2l|min^*H•inJ^^^^^^ 5i*, T#o Arabians sat down to dinner ; one had ^ loaves, ifttd i^ other 3 : a stranger passing by desired permission to ll Ijjfifh them, to whieji ^hey af^reed. This pa^y h&fing ^Ifih this the 4tfair was referred to a inagiftrat^, jwlio.'ga >iNti»r judgment. Let the owfiei' of tno^'foafcs h ^iB^woA the own^r of 4he 3 ^oi|re«i 1; Wa^ thiii dectstoir -Ani. It watj ki\ ;^^-;Sfe&i?^ -V'' €' Ab)^ Iq dr»«i0u£ bills of excbanra on Sp«n, it it oprnd to liiiirt Iv Jlov W|^Pl» »Mwf in 93P reals TdlQm Mel exebanKe 39d.t 4««.M7»^i*«e< 3. ' I?i J6867 8f. 6d. sterling : jbq^ mftny reals velkNi,^» lBa# m^ #tfir% ill i^ tt^ pkUi, dx^iliL..- 5. How many poands sterling are there hi %4 ezehange49d.perpefldi^ itnt. J6555 lea Ill fWiwai, ai^Q^^tf areijippt v^ 1^^ Baelia^iie tritb Britain, 60d. to tdd. per m\h^^^m'&^ liifniteaO 4i$fmmk»r sigllt^ iifed 6 dayawf gsaoei v i ": l$0(^ i^iisfr 1 aoilree. I 4800 rees s= 1 mmia^"^^'^ 4S»tm±^l4^tmMy ) (SiidOieeMiiijiiliiMk ^^ 4 IMu^ ^^<^ ,F*^WW^ m weau ii^qL«teriifig jioia^ «ie{Mm«^ip«r^kree. 3m. jeste l!is!t|l\f^n. ^ J T'"' A^* "^ywee* 500, reasi ]i^9iiv much staff^.«ii«fia|ise 50<|^fjip niilree? . ilM. £190 is. t4 - ezdlimiM 014 |i«r inike#7 An«. 7998 lii. 55^||. #. 3tk«^is tba im'mm vi^ jttf 4 joaniieii «xekiMri&jit pir, orjii^^M-V. An», sSfiflm, , 6. W.bat is the intrinsic Yalue of a inoid<|n;. exchange at par, ofSs.Tid.? ^ ^ Jilt. 27^ il^^^ ^^^s'H^I^ J^M^tnvrihed ii^0 Hl)^ an^ #^ y^ W itiiHinAMtaliUotUt ttfid Md}»«i7 the dtfol^of Tf^^l^^^^^ ^TlfA d^cai, pezza, piastrei 4^e., are each (|hi(^04 into 30 Qoldif attd tinofie into |2 denari, in the same niMHittrrM the lira,|iipneyv Usance 9 monUis after date, and no days 01 grace. ^ \ 'Ai'Ib»ini9, accounts are kdpt in scudi ot crowns, jlulis or paplif Ei(chattg6 with Britain by the seodo, for a tari^Ble ndio^her of jtencej p&r 34.59 pence. Usance 3 days after acceptance, and no days of grace. Ai Naples, acconnts are kept in dueats, carlins, and grains. Ezcluinge with Britain by the jducato di regno,' for a y^riable non^r of pence; par 44 pence. Usance 3 monuis after date, a^idBxIaysgrace. r,i,„. . u 10 grani = 1 carlino* 10 ca^Hni == 1 ducato. ^ 12 carHni := 1 scudo. \ 1 How much sterling in 7860 ducats bainco of Veni6e, exchange 52d. ? iin«^ £1703 steri 2. How many .ducats in j02014 lOs., exchange ' .51d. peir ducat? 4««' 9480 ducats. 3. In 47J368 pezze of Genoa : how much sterling* exchange 51|d.t iliw. £10,321 10s. 9d. ster. 41 In 10,321 10s. 9d. sterling: how many pezze, exchange 51|d.T ■ Ans. 47,868 pezze. ' 5i How many lire of Leghorn in JC665 2s. 6d;: exchange 61d:? il«». 18,780 lires. 6i How many lire of Florence in £132 10s. 6d. : exchange 62d.? , V iin«. 3847 lires 10 sdldi. 7. How much sterling in 1102 ducats of Naples, e»^hange 3s. 4d. 7 An». £183 13s. 4d.^Ster. 8. Reduce £548 14s. 6d. sterling intd dil'cats ; exchange 4s. perduest; yln«. 2743| dtteats. V DENMARK AND NORWAY. ,7 v^ . lit Denmark and Norway accounts are kept in riz>dollars, marcs and skillings., Exchange vvith Britain from 4 t^ 5 lix- doliars per £ ; par 4s. 9.67. Usance 60 days after sighty md 10 idays of grace. i Ij^.ifcillinga :;= 1 niarc I 4 marcs = 1 ort^ 6 marcs* as 1 riz-dollar, | 11 marcs :;i; Jlduoftt^ 20 t 32i 33i , M 4#i^iioa,Lio$.r;h bi:h> : : hum t mmm*-ri .4 \ Ai!^'4* >po : I'OO : : owrtney : buMto. 1. How many guUden .ourt jat in ^ 49,750^ jn^^em b«neo, agio4|7 4IW. $l*Qe^giiil4tiiu. % How many guilders banco in 7864 gunden cairetit) agio 2i ? Am. 7690 M} gai. banco. 3. How much sterling in 78^6 guilders banco, extifapnge 34)1. 6d. Jlem. pC^ je sterlifig ? Ana. ie758 Ip. 4di tf 9^- 4. How many guilden in J&I850 sterling, exchange 3^1. 6(£? --':- '^'^ ;:-r;ni i^!^ ii:,. jln»; 53,107i't«tel», , 5/ Ib £100 sterling, how many stiteni^ ekch^ge 36ik 6d. Flem. iior £ BterEng? Mti*. 2Iv900 stivers. 6. ; Britain draws on Amsterdam for £464 15s. sterlinV: how many pounds Flemish will pay the draft, exchange 35s. 44. Flemisli per £ bteriing'T - Ana. £821 Is. 2d. Flem. 7. In £7968 10s. Flemish: how much steriing, exchange 34s. 8d. ? Ana. £4597 4s. 2|d. A ster. 8. Britain remits Amsterdam 4896 guilders, 15 stivers: how much sterling will pay the bill| exchaiige 35s. 4d.? ii]i«. £461 19s. l|d.|| ster. ' .'".:' GERMANY. ^ ' '' ^V" . JStSMurgh, like Holland, has two kinds of money, banco and current, the agio between which varies froitn 20 to 25 per ceiiti' Bills of exchange are valued and paid^in banco; and exchanges are transacted by the pound Flemish. Aeciouiils ar^ generally kept in marks and schillings. Usance 30 days after date^ and 12 days of grace. ' ^ phennings, ' 12 phennings, or 2d. Fl. 6 schillings, or 12d. Fl. 16 schillings, or 2s. 8d. Fl. = 1 mark. 2 inarks, or 5s. 4d. Fl. = 1 dollar of exchange. 3 marks, orSs. Fl. 7i marks, or 20s. FL 1. How many dollars banco in 865 dollars currency, agio 20 per cent? Ana. $720 j- banco. 2. How much sterling in 8347 marks banco, exchange 32s^ 2d. per £ sterling? Ana. £691 19s. 7d. ^ Sf How many marks banco in £'9648 sterling, exchange 33(^I«0ck? iiii«. 122,^9 markf.^^ 4,.IIowmuch sterltng^money fU 4173 marks 8 iBchilUn'ls hiiie9, exchange 328. 2d.Tlem. banco per £ st^lipg? iln#. £345^98:^ = 1 penny Flemish. = 1 schilling. = 1 schiHlng Flem. =: 1 rixdoUar. = ^ pound Fiendish. V i [ !■ f \ u" il I i! M I'l I I'l .ill 1 I'll tl ^4^ III iig(!ir^^^ ' Jillt. 4SrHyi.'iliia. St. 8a. >#' BriMM ii«Aiil| : hwo» SS Eirea or 6 crowna = 1 Ionia. Neir eouiagai ' ' | ' ^ llO^tfMiea =s 1 deeime. I 10 decimes or 100 CWilJmBa =s 1 franc. 24franoa = 1 Napcdeon or l^pi^ ^Dfanoa - = IM livres. '^ - 1.. Ho# flMiob steHitig in 480 ttvrei^ eaekafng* ^f^ steHbig ^KMliehMOWiit Ang, £Si»6ai9A, %" Haw Much Fntich mcmj in £9B9» 1m> 4di atarliot, ezehaDg^e S4 francs 75 cents, pet j6 steflintf An8. 59384 francs 33^ cents. 3. In J05OO sHirKng t how man|r Uvre|i» •zchange IH francs per J6stitrtim1f Ana. 12150 livres. 4. How manjr liipres in i£893- Ss^ sierlingK. exahapge 24 fine» 25 eeats per S sterltag.? An9^ 21 664 Hw* 95> cents. 5.' In £lOiHh iMatliBg : bow mUny firanes, enhifiniiife at par 7 Ans. 2323^ fimncs. 6. How many Uvres in 4873 francs 56 cents? Ana. 4934 livres 47^ cen^a, • I^PAIN. ill %>aiA, aeebtthti ard kept in reals and ttihtn^edk Miiiiy il oiitiitgiifShed into vellon, or copper tiioney, and oM'^hte^e. old iitver ; in the lajlt of which exchanges arc transacU^^f liijpfite Idttay of ezcbaiii^e. Vellon bears to old plate li cobiliint(%^ of 17 to 32 : (htia, 32 reals tdrob=17 miB pltti^t tMi«ii9 da^ «flfl^ dato, add 14 days of grace. y IB'FvBWiyiTlMSk JEf«WJWWJf|j JMIBWW MV MBiyiSnQf IIM dollif* fie Hlfoftti 74 ^ Mirt«Mby ; or £5 eurrencjr equal to M «aNMe^f< ^ £1$, eummeT' tqusl to iC9 Morliti|. In- Ikfath Carolina and Georgia the dollar is worib 4ft M. tMnalMyfm JS6 MMitBCf a^Mti i« J697 aieriinis) 1. Redocc 891 dollars 90 cents to Mtfrlflltf; inMM^I HM 6xtluuift« iMiiiif at p&n or 4a. 6d. ttitrMg pef dollar. iina. i30&]3«i«ftd.| 3. Reduce JBSM^ 13s. 6^ } steiHnf^to Aitieiiean Stataa mooagr, at pai^ Ana: 891 dollars 90 centa. 3h lUduce 9U1 dollars 35 oenta to sterlinf i eioliMlie # 9 pel Mntb aWve ^t or at a premium of 3 pev oont An 100 : 103 : : 54d. : 5&08 penoe. As 100 centa : 55.CB : : 314135 cents : £4*ji 8s. 4d. ^ ajM. 4. Itedaee £4til 8b» 4d»:^. sterling to tfntted l^iatea vum^t at 3 par cant, above par. Aa db^«-46i^ paooe : 100 centa > : 117940.05 pe«aa a 3141 dollars 35 eenlft. ana. 5. Reduce 1833 dollars 35 cents to sterling; eiilMilige aft 9 fltr(tm^ uiider par, or at a diacottttt of 3 per oern. Ittal:l00::54:^» 6. lleduee jEM03 Ss. Od. sterling, to American United Statea numey ; ezcbauge at 3 per cent, under par. An9. 1833 dollars 35 cents. * 7. How much sterling in 4S1300 IQs. Virginian currency > ezfibaiige at JC133 6s. 8d. currency per £100 sterling 7 Ans. jedOO ^78. 6d. 8. Iteddee J£900 ta. 6d. sterling to Virginian curreUtfy ; ezotiango at jCi33| currency per JCIOO sterling. Ana, Xi^OO lOs. j^pie. ^ee Appendix No 3. BRITISH NORTH AMERICA. Ill tfte British pftsscssions of North America, aeeouutaare |e|A;ill JkMtnds, shillings and pence, Halifax currency. %bi ratio of currency to sterling is ^ ; that Is, JG90 sferlliig lifn agual to XlOO currency. Bills on London g<^neriilly selt^ at wpKBttOm* ^i. in X800 Halifax eurrenrcy: how much sterling, exchange at par? Xra#. JC730 sterling. /( I 1.1 'i i Si Rednee J6500 CaiHtdian eniteiioy to itarUng ; ezoSiiuige it 3 f«r ^t. above |m^, or at a pren^ium of 2 pep 9Cp^ , ld0:102 ;i ^ : AVir then ^1 pw. r^e,^ •!«. rVJeSOO 4. Reduce JC459 ■terling to Canadian correnoy ; ezehan|^ at S per eeat above par. ^ £^^ 8ter. : £1 ear. : : JM59 ster. : v£500'Oiir. apii. 5. HoM^ nraeh sterling in JCIOOO Canadian cur.; exchange at 1 per cent, bdow par, or 1 per cent, diseoiint ? > * * Atu. JBSSlyJj Iter. 6. Reduce jCSdlfff sterling to Canadian currency ; exchange At 1 per cent, below par.- iln«. J61000! Cil^NTON. ;^ - Hie princijpal money of account in India ie the current rupejt to which real coins are reduced before they ardentiered into books of accounts. This reduction is performed by ad<|&i]gr to the specie a certain per centage called the bMB, which) variea according to the value of the coins, and also according to the rate of exchange. The current rupee is considered as the standard by which all real rupees must be regulated and valued : for, bein| an imagi- nary money, it. cannot be altered or counterfeited. Ai Calcuhd accounts are kept in current rupees, annas and pica^"^.--' ■■■■' ' ''" '^^'^ '''"' "' 13 current pice := 1 current anna. 16 current annas = 1 current rupee. 100 Sicca rupees == 116 current rupees. ^ The Ea9t Indja Company, however, keep their acobUli^U in ' sicca rupees, annas and pice; which bear a batta of 16 per cent against current rdpees, aniias and pice ; and thek public and financial statements, which are submitted to parliameibt, eaeh sum of sicca rupees is reduced to current rupees by add- ing to it ibis batta, and the current rupee is then reckoned at 3s. sterling. ' j /The coins which are struck at the Calcutta mint are sicca rupees, also callGd silver rupees ; and gold mqb^s,.wl#b are ' sometimes called gold rupees ; 16 of the former are by regala- tion tp pass for on«) of the Jatter? ,, M Madras accounts are kept in star pagodas, fanam9 andcisb. 80 cash = 1 ianamf , ;^>r. " ^ 42fanams =; 1 star pagoda. , ill 1 1 '*, ezoiuuige eiit, ,, I «f. 3^ J6600 dzehanl^it .; ezehange f ; exchange idian our. irrentruoejt entisred into >7 Bd<|i!D|r to ivhioll»viriea rding to the by which all ig an imagi- 1} annas and acodiitt^s in a of 16 per their pttblic parliameiit, >ee8 bj add- reckoned at nt are sicca ■,. whMsIl 9re e by regala- 009 and «|ib- 1. In J66780 iltrliBff^: 'kfrn Mlany lix^Mait. hiwImibH 4^1 Aim. 80,510 riz-doUara. 9. In^ 8964 zUf dottvi 9 &>«»?• S^uDings : Jwwjpidi pttfw Hog, ezekfuige 41? .iipt. #18$4 14s. 1K|| i _ipf . ^duce ir48d ateiling into riz-doilars cnrtanc^r^zolM^nftt 3i. C^/per riz-doUar. (r iint. 2742f r)uc-d(|U«n* i^ 4. How nittoh sterling nu»ney jn 1000 marcs ; ezehange »{ 4s.9d.pernz-^olIar? An*. X34 14s. 5id. f PRUSSIA. In Prossia and Poland accounts ara kept in Polish riz-dollars ind grosohen. / 13 pfenings = I grosehe. -'-■' 24 grosohen = 1 riz-dollur. 30 groschen =3 1 florin. « In Dantzick 18 pfenings = 1 grosehe. Exchange with Britain at so many riz-doUars per £ s^er.' 1.^ How much Prussian money in £516 sterling ; ezehaiige 6i riz-dollars ? < iiinff. 3600 riz-doDars. dv In 2935 riz-dollars Prussian: how much sterling money, exchange 6^ riz-doUars ? f iim. je450'ster. RUSSIA. In Russia accounts are kept in rubles and copecs. Ezehapge with Britain by the ruble. Usance 3 months after di\te,,and 10 days of grace. >!_ 100 copecs =: 1 ruble. 1^ What is the value of ,1636 rubles drawn^on Lcndon, exchange 4s. S^d. ? Ana, £364 13s. lOd. 2. Reduce X763 sterling into rubles $ exchange 3s. 4d. per rable. i^i - iln«. ^78 rubles. ^ , SWEDEN. I? Sweden, ezcnanges are computed in riz-dbllars, skillings and fenningSr by ^ivmg u. variAbJe number of rix-dollarsjfof £1 sterling. Tlu) intrinsic value of the lix-dollar is 57.83d* sterling, and the ,par of ezehange 4 rix-doliars 7 skillings pej £ sterling. >« ' 12 fennings = 1 shilling. 48 skillings = 1 riz-dollar. 1. Reduce 4963 rix-dollara 13 skillings, Swedish money, to sterling ; exchange at 4 rix-dollars 34 skillings per £ sterling. An9. £1103 18s. lOid. f 3^ In £1102 18s. lO^d. I sterling: how much Swedish iQoney, exchange at 4| rix-dol!ars per £ sterling ? An8. 4963 riz-dollara 12 shillings. I ',^:^'^l # iy I i, i'i ^' IfHtmthWkfk kitot ^ $H the EngUfh WmI Iii4% filiMidft in in iriljil^ in kn ilk« }lil«b^ except ^niaica» whett tb^.tMti«6] ItiMk^. tfr Mtotl)^ HutioS'; thiit ti, J&7 J|«ttiiiiiM bttrrattMt ire i^ttiil Ui J6^ iterli^; X140 curretijcy aM| ^aQUl tjl^ iCIdV i^Aimp The Simkiiifi^Har ii th^ t>Hh(!l|>«jl M «iy6«il^iii| in il]« Wcft Invito, ihd it seeme to be the iUndtrd hf #hiel the valoe of all other inoni«t ii'tto|p|lkted. When the carrenoy m m J6I4QI t» iiUM) sterlini^^ ii pr^sjiea for 6i. AiL} andiatlief eoina in proportion, tn Jamaica, billa on Londoa haf«< b^ fometitnea at a premtiinp of 20t ;per Cjiini. above the Ugtl exchange, and theyi ate addbna under 10. Dollars occasionidlj hear a premium of 3. or 4 pdr cent 1. In i;960 l6». Jamal<$a eutitiitfi hb# Miielt H^terlinf, exchange M40 ppt Mm hurting 1 Aim. £S&i la. &|d 3% Seduce d^6 1% i^|d. alcfling tn, i|a«»«Mi» iKVPeoioy; exdmnge i5ll4A ^nrrenity per £100 aterlinir. 4iit4^ i^^JM)ii «liriKne](< 3f- IMufie 4St78 16a. 4d. currency t<»it9rl»ngi} e«chiing»i( £166 currency per JCIOO 8terling> An: £469 3ii* 4d. 4. Reduce JC469 3s. 4d. sterling to currency ; exch^ngi^ at 41^96 linrteney pei^ £100 ateHitig. An^ lBtl% l^^ i UNITED STATES OF AMERICA^wn 1 In the United Statelf^ account* iir6 Ik^t in dollars, dimei sad cents ^.«Qil in 8«ai^ parti< iii ponndsi shillings ami pence, 'Cuitencjj : ■ :j,„v '. ■ , Etchikttge*iNlbr.mpnt«d In dnilats iih^c«nt»; thi6 pi^bc^g 4 d^llttW 44,«enla per £ sterling, or 4s. 6d. per dollar. The exchange with London is either at psr, or at so mucli Mr d^nti abbve nr belHw par, aciSOrding td Ih^ balahee df^ trtfde. The gold coins of the United States are e^glesi^ half Mgtei intd quartiet eagleirt; the e^i^rle bein>^ of the talu<§ of 10 doNarik The silver coins are doHars, half ddllars, quarttf^ ddHarsj diiiMi or tenths of dollars, and half dimes ; a cent is the only tiOppel coin. 10 cents CS3 1 dime* \ - 10 dimes, or 100 eeiils as 1 dollar (4s. €d^ slttr.) . |if 10 dollars 3=; 1 eagle^ .a. ^ Th KiMiHaeiy, aiid Tennessee, the (joflaf irife»fth 6s. iuftettOjr) OfJE^iftttr* reneyt equal fd £3 sterling. -< \' . ^ IhtaixdlNre nto on their \9t\ Jiand. OpnnM nr ||M( lim>mltt$ of tha ■implcf, so that ^ne lept than the niiJiliira mim ihMllW •Imra |t|Mia4 wiib pne that ia groataiv Wri^ the differanoe bitwtxt the ifiiztara rata ant) that of eachjpf %ht simpiHSff^ ^ta to that rata vith which it ia |infc<)d. Thpae dif^Miiq«% or iheir aam^ if mora than una* will l^w iiie qftanjiilieil %%J^ I^Hlfl oppoaite to which they atand. How much sugar, a,t 4d. 6d. and 9d. per !)>•> muat be miied together, that the icojhi|x>8ition niaj^ ha w^flh $d. per lb. 7 AKawsm. r 4^ 1 Ih. at 4 =28 4 «J 6i • 1 lb. at 6 =3 6 : ^ e 9i-i44Sts:6 lU at 9 » 54 8 )64(8d.praot 64 1. How niQch tea at Gb. and 4m, Gd. per lb. .mnat be mixed (Qg*^*^ ^ ^^^ '^ cotQppsitiiQPi wforl^h d>- $ SO at 98.^ 10 at the reat l^l^'S. Wfecn oneof the simplwi is liniited^ say, As' t||o Q|ianitity <^ Hat •8ih^'<>l*', found i>y t^e mutliod of linking, i^ to il^limit^ qiiaM(liy,*8r> are th^ Offcer quanttiics found (o the'ieqtdr^ '||uantity ef-iiaeH* 5. How mach wine, ^t 4^. jSs. a^d 7s. per gallon, must be Wised with 6 gallons, ict ^. pdr gaitdn, that the mijltire may baww«l»fi»6it^p«pfatkMrit ?^ :• :!' :i- ■'im XN¥6lVtl^^ «. ii9Wiil«ibh%rtiidj|^it5f;;5i.'6d.iild^/|^^^^^ %iMuMMI wUh t griltmi kt 4f. per galloo, thtt the «sttif*tiM| ■M^'be werth 5f. 4d. per fftllont Ant. 9 at 4f.t 6 et 6f ., 19 At 5i., ind 94 at 5i. 6d. AMUtrA. As in these iMt two adettiou ttidre ate two simplN I Ifteater than thA miatuie prie^, and two leiil, tlMTf iniy be Hnk«d difiereac ways, and consequently give two dfitereat leti oraKt#m:{ thus, *.i»- d. (60- C48 — 8 16 4 2 64 < 60, 66J 72 L48 ] 2 4 16 8 the different sets of answers arising from these different results are, however, eqtially^ correct or true answers.- The answers alreadj given arise from the first, method of linking— those arising from tb«| second, are*— d' at 4s. 6 at 6s. $ at 58. and 1} at 6s. 6d. --'Jllfii i INVOLUTION. Inyelutitin is the method ot finding the po#ers of numbers. Th« n'ttmber to be involved ie itself the first powtt; oritii ealled the. root of that power it is required to be raised to. If it bo.inu;ltt{]Aied once into itself, the product is its^ square or second power. If twice into itselfi the prbdoet ii hfitidie or third paiwe«^dbo» \ Saeb k the mode of ntH^kdug osed I^t the Eeet loiii Con- pehyand othet Bmopeen merchaiitei diiI< mmonf the MliYee the velne of the pegooe variee from 44 to 46 fenenei The gold coina ere fter or eurrent pegodai ; end the iUter eoine eroot ropeei. Doable and single fanams are curient here : and copper pieoea of 30 caah called pice. Also pieces of 5 and 10 cashy called doodee ;' and single cash pieces. These copper coins are struck in England, bearing the date of 1803, and the tbIuc is marked upon each. In the (!;ompany's books, 100 star pagodas are talaed at 485 eurrent rupees ; and 10 star pagodas at 16 Spanish dollars. At Bombay accounts are kept in rupees ; each rupee being divided into 4 quarters, and each quarter into 100 reus. 100 reas 3= 1 quarter. 4 quarters = 1 rupee. The coins of Bombay ar& the roohiir> or gold, rupee ; the silver rupee and its half; also the single and double pice, the ordee and doreca, which are copper coins, with a mixture of tin or lead In the Company's financial accounts, which are submitted to I' parliament, tl^ Bombay rupee is reckoned at 2s. 3d. ; and it then bear^ a batta of 16 per cent, against current rupees. Its iiitfiii'sic Value ii* 33 pence sterling. At Canton, and in all China, accounts are kept in Hangs or tales; each tale is divided into 10 maces, %aoh mace into 10 candarines, and each candarine into 10 cashi 10^ cash s=: 1 candarine. 10 candarines = 1 mace. 10 maces = 1 tale. Stales = 1 j6 sterling. There is bnt one kind of money in China, called ca^h» which is not coined but cast, and which is only used for small pay- ments ; it is composed of 6 parts copper and 4 ports lead. A tale Of fine silver should be worth lOOO cash, but on account of the convdhience of the latter for common use, their price is sometimes 80 much raised that only 750 cash are given for^ilm tale,'" ^ ' ' ^ - In China, gidd is not considered as money* but aslotierchan' distfjjit is sold in regular ingots of a determmed weight, which the English call shoes of gold ; silver ingots are used as money; and are from ^Ao 100 tales, their value being determined by their weieht. These ingots are of the best sort of silver, iSfjX it 94 partsliM in 100 ; end the English reckon the tale of iuver at 6s* 8d. sterling. .:i AtUOATIOlf. flffioM and fiftfoi«i«Mto ^MalillN of nixlmt^ttnd it mAM AlLl6AinO!« WIBl^tAI^ 4^ftii tlM qof»DittMi and ratet pf tfae M?«r«l ump^ to ibd the rata of the mixture. HoiA. Multiply eeoh qoantity bv itf nite» and divide IM •mn of .theprodaote hjr the lum of the qoantitiei. Minef fillone of wiaei j|t &•. 4d. per geUoh, are miMdwiftk 6 gailona at 6ji.<64. pergaUoa* 8 gellona at 7e. 7d^ andwjln8 galloM of water : wh%t is the ▼alue of the mixture per gallon t ^ . f. 4. 9 galloni at S§. 4d. i±= 4$ S liHlone at thk 8d. » 53 4 8 i«lkNii at 7i. 7d. :as 60 B *, 8 Ittiioni tiriter ■ ""■ ' SB >16?) B<5e.9id.fens. 1. A gfocer nhijcibd 81b. eugar, at 7d. per lb. with $lh> iit 84* per lb. and 71b. at la. per lb. : what ia the price of the miztore pierrJkt ' ^nt. 9d. per fb. ^. A Mpirit Mei^hatH Wixea 19 gallona of cognae brandy at 5298. per gallon^ and 17 gallon* of wine brandy at 17a. 6d.^ With 10 gallons of another sort at IBb. lOd. : whaiu a gallon of the eomposition worth 7 :^ Ant, 198. 7|d.X 3. A malster mixes 70 bushels of matt at 10s. per bushel, 100 bushels at 9s. 6d., 50 bushels at 9s. 9d.^ and 37 bushels at 9r* 9<«* .&0^m'iB^mwmttmiii> ~ .■:•'. i.. .^■.;. .-Wv.,A--^afi"., . , ,.,r.7.;4i^ 1854. —^*-f 6. 8t^-25T T^i liiW9*!S76r - , jtoitf^'fsi-a*^ •'»:^'"^ 8. T690»4I*ri2&T il»w.«7-l2S: ' . 9. m0086? Ms. 1005. - 10. -0012357 An«. -035. ;*^ .11. ^0225? JLnt. 015.^ 11 12. •00000784? itfi#. O028. , 1$. 81325225-6025? Ant. 9(^8^05. ¥^ ^ 14. 2? ilfif. 1-414213564-. 15iM t iln«. 2-6457di31« -. ^, 16. 10007 jfiWi 31^6927760- ■*; B 17, n? ■ * Ans* #• ' ^' B 18. -^^7 iln«. . ^Ip' "^u iin». 5|: > - 20. Off? Ana. 3t' l 21. lY iin«:^66025403-| *• <^-68-3? Ane. 1-52752528- K Ana. 8-266397844- 24.. 000000005329? Ana. .000078i USES OF THE SQUARE ROOT. I. To fit^d, a mean proportional between two given numben, extract the B^i^ftie root of their product. Find the mipan proportional between 3 and 12. Ana. 6. Find the mean proportional between 4 and 36. Ana. 12. Find the mean proportional between 7 and 135^ I iAna. 30-74+. To &id the side of a square equal in aiea |o any giTen Bttria^e, eztraot the square root of the given area. ^ 4. Re(iuired the side of a square equal ix^ sur(ac(| to an irre- gUtiuf tibttn^d fieM bontaimtig 40 acres 7 Ap^. 80 poles. '^. A gentleman has a field of an irregular form, containing 10, %res, which he wants to exchange for a squar^Md of the sanS^ektent : requklid the fida pf (be square in ^oki$^^ An«. 40p^lefk 6. A Mntlenan baa a fish pond* hi form df a tl-iaiigleV ebn- tatning m i>oiea : he wants another of equal ju^a» ki form of i square : required its side. Ana. 21^0819+poles. <>'-- *^'' U" ^ '^'' Wen numbenii m *^q if* irge: reqoirad •564+p(dei. 7. Apkntoiionof anirregidtr another of a tquMra forpi ii wantisd 3 timff^ the length of its side. Ana. If 8. A farmer bss S fields ; t^ lit oontaimi.!? acres S roods 8 poles, — the 2nd, 5 acres ^fiooiiB 24 poles ; |if wants to ex- ehange them for a square field oi inferior qo^W, bat one half larger: inquired the side of the square. Ana, 56*28+P<^^^** 9. A clergyman's glebe consists of 4 fields] tlie 1st contains 3 acres 3 roocfs 4 poles, — ^the 2nd|| 3 acres 1 rood 20 poles, — ^the 3rd, 1 acre 15 poles,— the 4th, 4 acres 3 roocte 24 poles ; he wants a square field in ezchange,.equal in area to all ^e four: required ibe1^iq|(th of iu side.' ^s. 4^07|^pole#. 10. In a^e^nsre pU^^ation, containing 74,529 treepi the trees are pliMit942 ^o feet distant : required the length of the .side. Ana. 4696 feet Note, direlea ate to eaeh other as the tquarea of their d$ametera» llv There i^e two circular walks in a gentleman's pleasure ground ; the diameter of the one is, 60 yards, i^id the iither is 5 times as large : irfqui^4 its diamet^*. 4n** ^3it*1644?ysrds. ,i 12; A idifeter has a kiln 20 feel: in diameter, which is tos> little 1»y J of his business : i^at is ^he^ diameter of one which will siilt m ptirpof e 7 Atia, SlO-^89'8-ffee^ 13. 'The |sying of. a circular space of, ^Ofei^t iq di&meter edit £74 lISs^ 9d. : what will the paving of ariOther, 120 feet\^i diamAtfr,^jBO|^t? . 4ns. J^]l^ Os. 9id.f 7 14»" A'ventfeman has 2 elliptical ponds ; the aresof the oiie, is 3 aeres^ ^.xwdis, the other 1 acre 2 roods 20 poles ; he w^hts * a square eanal 3 times as large as both : required the length of itssidOL Ant. 49'5984p(rfes, JSa The pi^epfAthol planted 1,332,250 ti^s^ in' f mf e, imose lentr|th was iO limes its breaath: required ihi^ iramoisr 5>f treei;:^lttiengt^ and breaidth t ' ^d**^* ?^^ ^i!f^9^Q ''^4^* Illi diven miiy two sides of s right angled triangle, to Knd Itheolfoside. RuLri. To fin kipf , «nd the square root of the sum will be the hypo- m»p, :, To find either of the legs,t-pfrom the: sQuaie of the bipolwiiise sobtfaet tt\e squsre of the gifon leg« «»a the sqvare >t of Iht r|iB«iDder will be the other Ifg. K 2 «•;;'. 1^^^' . ■ ■ ' ■ • ' ■ iii' ; (■-: ^S • ' 1 ^^ • ^V 1, r Base. ' x^ -•».• 16. T^ HhiNtt f i4ei of -a righi-i^ngled triangle are 3i 4». and 5, takinjj^ ainy two of them as given : required the other. 17. If the base of a right-angled triangle be 90 i^t, an^ the perpelidtetoitar €7*5 feet : what is the length of the'hypbteiitiseT Ana. IIS'5 feet 18. If the hypotenuse of a right-angled ^triangle be 112*5 feet, and the base 90 feet: what is the length of the|perpen- dictilar?' iin«. 67*9 feet. 19; If the p«rpendieuTar of a right-angled triangle be €7*5 feet, and tho hypotenuse 112*5 feet : what ia the length of the so. The leufftli of a line stretched from the top of a aUipli toa.ataliofi iS50reet from its bottom, was fonnd ,|io mipinn 330 feet: qnery, the height of the steeple. iiii«. S^15*4-f-feet i21. Stahdihg ou the side of a riterr I fbundi that- ft line stretched froini the top. of a precipiee, rising perpendieulariy 449 feet on the other side, measored 585 feet : required the breadth •f the river. ^ itnt. 375 feet SSL The wall of a fortianation is 248 feet high, the breadliij of a diteh surrounding it is 224 feetc required the if ngth of 8calaig4lMl4er that will reach from the farther side of the di to the top of the wall. ilne. 334*185 feet 9ai|^TheM» are 3 towns, M. N. alid P., so eifbkted that |f; 940 twites south 01 M., vtix6 P. 180 miles west of M.: requii the difltanee between N. and P. ilne. 300 miles. ,,„9Atvt Wanting to find the height of a rook, ifbich WM nearlji perpendicalar, I stood 55} yards from the bottomi|tn.4iJi»ui thai the distance from the place where I stood to the top of rook #iMi 140} yards : required its height Ana, 129.07 yiMs. 25. A' I^er 65 feet long, was standing upright against WiAiof ilmijito^heigirtl but the workiMen l^faVib^ dt^tTaf^A ( go in at a window, sM'^ie l&dder 25 feet from mr hiijliiiAg in ordir to iiMMiUKWhf ^Mm m ^ n tim im^ lm^mm^ tte lof of the ladder fell ihim tbA iomniH o£%;|^(v^i jinf. 5 feet of wind, Urack the |^und 15 fiMt from the peift: what woe the bngthi ef ^^ wHel^ May-pole, euppoiuig that of the brdcen pie^Hp heiSt feet" : •,.^-' ^a^; ^.,^^fin^^SU^ ■ 27. The height of an e1ii;%tOwing iirihe middle of a amall eircolar island, 30 feet m diameter,' k '53 "^Bt/iuid a line ptretehed frota the top of the tree to thb eintside of ^ilK iTAter is 113 feet : what is the breadth of water sarroaaditig the island t . iins. 8d*6feet EXTRACTION OF THE CUBE ROOT The eube root of any nnmber or poorer is siu|h a jlaiqtih4^ as being multiplied by itself, attd that prodaet again by the same number, will produce the number first given. RuLv. Divide the number to be eztrai^^d into periods^ of ihii^figttres eaeb, beginning at the units |ilace, and pqintinf to thiileft in integers, and to the right in decimals. Find the cube numher cipher equal to, oir the next less than the iBft han^ >6ri6d^ and put its root in the quotieiit | siihtfeiet the Oi^biB . ' ir from the first period, and to the dsff^iene^ fiSiM^dow :3 iiezt peiiod for a diti^d. Find the divisor by multiplying the square of the nimiber i|i thli inn^tient by 300 ; consider how dften it is eontained ilk the difimd, and put the number of times in the quotient Multiply the%number that was 8quare4 to find the divisor, by the l^t figure in the quotient, and that produot by 30 ; add the leiblt, together with the square of the last quotient figure^ to the ditis# ; multiply this sum by the last quotient figufi^fer ibt iUhtrahend* - / h. Take the subtrahend ftom the dividend, and to th^ diffdreiHse bring down the next period for a new dividend. Thto ffifid A divisor in the dame manner as before, and repeat the *^9mm'' 9m^$ i m$v mm^'^^ 1- ;r I; ;|.i; i'i; !|; ^:mi ;«|jird ^ ii^yf;9dm MO ' lit #W 5044 4afX3008ysS990Q 49XtX8QaB 10089 ..J.,,;..; . ..g^pB ; .64 )14567 10098 4288X4883X48883=: 78567738187 <3x3dii± ^^S5SK» ■ :■■■■ 3»:a te 9 3ddiTiwr5499a7^ )4479733 4314752 )t6498U87 , 164981387 «4a mMnirtMMm^^^ — - — -^ — rr- iv.jio be fqii|?e4< , . . . , What is the cube root of l.H08^56V: 4n*. ^^3. $.:800lS57Sl5. "928.71- 3. 2740t02S^75. * " 30l5v iL 122615327232. .f< 49$$. 5:4149,995543. V 16f07 6. •0087301^, ,<1 .2058+ 7: 000000091125. iifw,.*0645 8.3. 4ns.l4mi- 10.^. ."if. 12.,; 71. . ,., .'",<• ,I,W'i+ , *,: tJSES OF THE CUBE ROOT. i To jijqid 2 mean proportipna|8,bet]9reep ^ ghftkli^XB^^. . J8,uu^ . Divide the greater nmnber by the Jess, and ; extract I the cube root of the quotient; which root multiplying the leia DHJUllwir jrill giye theieast mean ^proportionaU i^nd diyidiai^fthe { |fi«ll^^Biipber will give the, greatest. r.r>:l. What- are tfac two mean proportxMials< between 5 and{ 320 7 Ant. 20 and 80. i. e. 5 : 20 :: 80 : 320i ' % What are the two mean proportionals between 6^ and I 5127 ; 4n«.; extract; the oube root of its solid content. 4. irfi# MHdily lOf a siAsffe ia 1 1390*625 ; leqaiMd the lineal { side of % oabe vi equal solidity. ' 4m^ 22*5, .>''b;>..- 0«i« 3187 ftodl ( ', K* * U; .^ 15. Ant^ i* 5* iron iii^b0||i. d diyidipg^jthe ■ ■. . ■•» -^v''' «tween 6-i»i(l :-:80:39O. Qtween 6(^ and Si^ and.356. e|>weeP'7 and lirad tb# lineal find r oonOiUi^ 15^^ enbio inehei T Jn«. 35 intliit. IJPU ^Eftfingjtha dimenaiobi of a solid bochr |iTen, to t^dfimenai^of a aimilair one, anjiiwiiber of Unff gti Rule. Multiply or divide tbe^obe of eac^ of-tha fi dimensioQa, by, the number of timet tjj^at the reqnixedfaoliO'iilo be greater or leaa; than tl;ie .ffiten- one ; then the eube root of eaoh produot or quotient wilT^be .the dimensions of the solid required. .','■;_' •-■«'' •:Ll?>V5.i!i 7.^ A water cistern is 5 feet lpug» 4 broadband B dejGip: require^ the 4^aiens^ons of* j^Q^ef oisteKn thai wjU ^cfmtaui 5*832 times; ast'muejti^, ,, ,: -.^ ].','. \\,, ._ ^fif. 9 feet longf 7*|2 brpf^d, and 5*4 j^^ i^, : , If tlie length of a shjip^s heel be, 44 fiqet, tl^e njidahi^ beam 15, and the depth of < MiO; hold 9:, inquired, the. dimenaj^ another shipr ql the samje form, that wiU cainry 3 times the harden 7 4n«*' I^^g^h of keel 6345-f-; midshlpii^^^ v21-6?+, depth 19-98+: Note, Similar solidi are to each eiher as the cubes of their ndes and diai,ie,ters, 9. If uballdf 4{inche8 diameter weigh 9^1b.: required the weight of a siittUar oiie whose diameter is 7 inches. Ans. 50-9 lb. 10. If a cube" of silver, whose side is 3 inches, be worth £8 17s. 6d. i required the side of a cube of the same silver, whose value would be'3 times as mtiohi "'"^'^ t-iMhii 4J8^4-. Hi A iiidtihd ^f eart^ is 660 fe^t long; iStOfeeibtoadj and 308'4eeii :. required the fide of a cubic one equal to it ■.^^^';^ ■'' - ■ '-'-"^^ ,' ■ ilb«:-!SJ54-44-t%t.' 12: ' If a {^lobe ofS inches^^iamelerwelgh l^lbs.: Wlat i^iil be the diameter of another Weighing iB2ib^? i untr ^ ^ 4»i». I6ei^ indies: ^13. The leqgth of i^iitbine is 8 feet, its breadtl^' 6 f^^t, &nc(^ its thickness 4 feet : what are the ditnensiooa' <^f todther 10 times as large, and also the side of a cube equal to' bii^tl^ ? iiii#?l7-^f^^t long, 12-92 bwifaai 8.61.thick ; '• • 12^ft«t^bfcta(be. 14; If a shipof 300 tons be 75 feet long^ itt \\i6 keel: re^td^d the burden of a stnialar Miip whose keel is 100' feet long. : -fi ;■ ;!;.'|li ^1 ! ijii A\t — fcS^**! ABMi thAi will OCHUftAlll AS m iMth ••.aU tkt i' '■i)'.,v POSITION* ■ .„ ■' tj 41u*nd#ii Mlled Feiitioii, oi^ Boppibtitioii, beeirtiit with tibe h^ of rappowd nambert, and by rcMoninf from Ihem aeooiird- m§i-t%, Ih0 iMlan of the qoet^iooi, we find the trtie obM. ^1 ^>'Tiili rale it dindod into two pvtir-Single and Double; in IIm Ibmi^, on« lopposition ie used, nnd two in the latter. SINGLE POSITION. • . • Suxji. Stippofe anv niiihber at nlearare, nhd Woik with it tmVUt'wM die trde one, then if the reanlt be either tooi little or too inijieji, aayyas tl^ result of the position is to the position, ■0 ii the Ifiven nnniiB^r to the number reqiuired. Wh«l hnmber is that to iRrhioh if we add the half, the^third, IB^ ibonh of itself, the sum will be 125 7 it to be 24 Aa50:S4::135 la S 12 5 8 5 6 — . fiO 60 8AIS. 30 20 15 V A mwn Moff uked hie age, md. If to mj age yp« a44 ^j^ 9nd I thereof, the nnn^ber inU be 63 : what if as his age? .;■ '';7 ,'.,_'•; ■"'4*»*« 36 years.. :^ 8. A joekey being asked the value of hie horse, said, that if ftoni )lij|.faii)e you take i and i thereof, the ^remainder will be J615 : required at what he valued )»i$ horse. , An9, J636* 3. A genUeroan bought a coach, two horses, and harness, for J6I5O; tnf horses cost 5 times as much ^ Uie harness, and th^ op|(e(h pa ff^uej^ fis both horses an4 harness : ho^r idneh ud hepay^ii^leecihf^I. / ,. ,..,.-.;:.) ;.;,' *„,. Ani. T^nn^pmMZ ids.^ horses, j^^ ^Os., and coach J675. 4. )>ii^d)9 J6lt)85 among 4 persons, A. B. C. and p., in such a telpher thiit^. may tMye twice as iquch as A>> C, three tinaes aii mwh as Aft J^i4 P* o^^ « 4^. A, J^> B; JB197^, <3. JB295}f , and ^. £m^. ibid tet A. pt and llM tUBi of TIhm iawonii A. B^ ukl C bat A. i<^MI oM afUB m B 6. M : iiiM. 4. 136, B. 63, tm^ 91. Required a nrnnber to wliioh H*i ^ >^**lf biiiig edded* tnd J of UM'Ptiiii iobtneted ; the remainder alMdi bs 76. 7. V A pifaoQi after ependinr If and f of bia money had j679 lefts what bad he at firat I Ant* JGMO^ / 8. A. B. and C* pnrehaaed a hooae Ibr j680Ct of whiehA. waa to'pay doohle of B.* and B. 3 tiroea aa mneh aa O. : wh«l shoold eech p»j 7 ^ 4»«* A. 4^0, B. 46340, C 4680. 9. The number of fiidt'treea in a garden was 353; there were ^^ mora bearing ami|ea than pefra ; the nifaiber of thbee bearing pluma waa | of tboae bearing pears, and the number of . those bearing cherries j ^ tboae bearing pluma: how many wei9 than of each ? ,-: Ana. 80(appie> 60 pe^r, 48 plum» 64 eheny^ ^0. A young gentleman was left a ibrtone»— i of which hi^ qient in gaml^ng* .^ among his eompanionss. r^ on a bona* and fiprniture, -^ on a atud of boraea: he then ^nda that he baa only J64340 remaining: what waa bia fortune f Ant* 4610176. DOUBLE POSITION^ ^iuMI. Make two positions, and proceed with each aooord- ing to the nature of the question ; find bow much the resuHa ara difibrent ftom the jriTen number; then multiply each dE tiiese differences or errors, by the other's position^ and if tb'iB(immf»!^^mi''m^r-^fi''i^^tfi.^^^ .A .t»fiM^ wi*/«rft^ .S^' c. fmy ^ If WIfeit niimfciirii^ftt,wlrilBlt iMing m«lt!pliea 1>t 7, «|>d lesiisnMI' 1^ 90, if ^h^ ndm&trm'nmitil^ 5^ tlli q^ wiHlM^^riiineai the raquired number?' '' iiii*. 15.' d.^ TitMi m^n; a: B. MAi t., him'£$^ |o be diTicied Wong HwiiiV io'thftt'B^i ahiira will ^ J64 morc^^h&ii f of AL'¥M Cgi:^ mbrcf t£;4n ) iitt/B Jre^fi^d their sbaroi^': ' ^ . >^>'-' '3;^''iilli^'my' age- there ^ttdded'^bb,; ^'^•'••-^ -■ - ' ^ : Oii^hair^ bn^-fbird, itod tii^4hnei thne^ She idiqr^ iiAvi «sn tho jram wifT' bd'}^^ T <^ What ia my age, pray s^e^ it me*'" "i^ ^■'■JkH^'Mi'-'^ ^tiCw4to set on'the bnsk of Swift; makea his value triple that of'DiaOiond: reooilOd the value of each horse 1 . JLim. Diamond ^jCSO^ SiTift dW^ 5V A mis^r having about him a certain number of crowns, said, if i+i+iH-^ of what heliad were added to 10, the sum would be 45 : how monjr^ Orowni bid he ? ^ Aiu, 73. 6i > A farmer being askod how maf^sheop he ittt^ ani#ei^ thMhe had them in five fields ;ln^ iihe first ho- hiid f of Ms flocks in the second^, in< the third |, in the #Mirth 'ji^ alid ill the fifth 45Q: how many had be?, , »^ >> » Am: IfiQQi. 7. A gentiema^ serving sbtjrio beggars, foti^di ^^^ i^ ^ gave each 4d: h^ ,#ouid |iair^ 8dJ left; but if he gave each 5d. hO; Would waiit 4d. : how many beggars were th^re ? ' , 8. A fish whose head is 9 inches long, its tail as long as the head and half tlif body ; ind fii body^slong as both hiad and tail t required tl^ whole length Of the' fish? ■'-^- '. -.'^^ --.;■" ''^ .vj ^> :-^<.o-- : Jlw#.772MM^ei.''- 9. WhJdii first the Carriage knot was tiod ' ^ '^^^^ Between my wife and me, * ' My age did her's as far exceed ' As three timss three does threes But after ten and hslf ten yMnr^ . We mftn and wife Ipad been, ^ ) !'~v«Wbat w^ ;^ >^'-^^ ''-;:.;' " ' -">y|iMJ lie^wmi4S>"kaMw 1ft ' 'MIL :.^4riii^ nHrohnit miiiM '60ff iltoni 10I wfiM^ itanrt #onii 8i.iMr fidiviit ud ite remaindfr nbrtl^ !§■.»■» tlwHIi* valti* of im miHilrtt^^ift 8«i .lOd^ r fiquirod th« qaratiiv of taeh 7 ■(\'>'^u Atu. 35 mtBmtMlkvi 10^ II. A;muket womaii bought li eertain nmhlMrtof fggt at %m pmyi and iUn manj^ at 3 a p^tiitly ^ and aold Ihom aU MIH at the i^te of 5 lot Sd. $ dfter <«rhicb^ab»*fouiid^t» hjcaaipnaa that abe had lost 4d. by Ike lale : what number of ogga had ibe? ^«t. S40, or lSO%t:eaeh prieib -' Ifii A gentleman engaged a workman for 60 dayfi, on eoil«- dttbn tba^te ihooid hav^ fia. for every^ day he wronglitt and fbrfeit 2p. 6d. OTer^ day he wlna; absent ; ar tiie entf of tlnl en^emaiitbe MoeivedfXO : liow knatay daysrwka he absent T - Ant. 1$ dayt* AnlAmel/eolPi'o^retfJoh is when a series or ra'nk of niiii- beiVti^uniformly increa^s or deoreases by the continual add-on orf au tS f i^twn of adme nombep called the common diffisrence; thnsi 1, a, 3, 4, 5» 6« 7, •is an increasing artthmetieal seHei^ wliere the co^i^pip diiS^renoe is 1 ; and, li Ipr 8^ 6, -dyvS, is a dojOifM^ngiHri^lbWhi^rf Iho inra<(^) dif^ -i ^ Hie firstr and last terms of the series are called extremes, andthe^tothertetms meansi^ ' t ^' Jffoiii the <»f» of thb <>xtr^m«8 is eqifaT to the't^in' of lariy'lviFb nieins equally diitant frbrin ihcTth. ^ pf.||i^s^ fiy^^ vi:f., the two extremes, common ^ifferjii^ii^t^, npmher, of. terms,, and sum of the series:, ha vin|[ any three gi^n^^he qther two may be jfound. ^ ,01 Ca^K;I. Given the extremes and nutnbei^of terms, to lind the eonimbn dilTerence, and sum of the series. ' * '^ltuk.1. Divide the di^renee of the extremes by'^'Q^e lem thajD the number of terms, the qiiotientwill be thecomfliipft diffei;ence. And the sum of the extremes multiplied ty halt the number of terms will give the sum of the ^^rlee. 1. Given the extremes 9 and 48, and the number of terms 14 i rec^red ^e cosomon diff^noe and sum of the soiet. ^JHb 9 COIR, dii 3^ aimi of M^iii (I "t; f I U. aiiiildM kSlfll lti.j tvM M k# fiitMbr tiM. wiMli, ■■4 IbMr wvMk did th* prioe of ,My om izoted iJNit dT. Um 9neidiil||t : - Jb«..4adili/^J6995 price. ft ▲ liiirahattt vat in badnflM for 84 jrara ; the fint jeer liie 961 trees* 9, kave the rwlom she i, and how 7d. in all ^ to ai^ottter, on in arijth- I 60 miles : he distance Similes. i I lerallenwi, the eoMmon d^Miice by tl^ 4a0iiMit \ add imd avbtiMt Ah prnma t^ and ftoik the tim ni mtMm ^#tdM Bf tht mmUlt ef fsmMMhi suni aod tsBMhider will be thi gti^NMI 4md hJist twiBi iMfwUfely. GiYeo the namber of terns 9, the eowMnoB diilti»t»<» •ni the sain of the series 135 : required the extremes. Ana. 7 least, 98 greeteal. 11. A person discharged a debt of J6310 19s. in a year, bj payiMf every week 3s. ssore than ho did the preceding i wiial were the first and last payments? >» v« » ^sf. 4s. 6d. least, 157s. 6d. greateajk 19. A eourier B;|r incressing bis dsy*s journey 3 miles piT day, travels 345 miles in 15 dnys : reqaired his first and lasl day's jo^jrpey. Afu, First day 9 miles, last 44 miles. 13. A horse dealer bought ten horses for J6110, the differenee of their pcioes being X9 : what did the first and last cost him 7 iiitf. The first JC9, the last JE90. Gasi lY. Given either of the extremes, the common dUft^ rsnee, and number of terms, to find the '>ther extreme and sum of the series. Roll Multiply the common diffiairenoe by the- number of teqns minus 1 ; this product, added to the less extreme, gives the greater; or, subtracted from the greater extreme, leat^ Hid Jess. ^ Add said product to tn^ce the least Extreme, or subtract !t from twice the greater; multiply the sum or the remainder by bdf the number of terms ; either of these will give th^ sup'of the series. ■'-.■ '-'^ 14. Given the least extreme 19, common difierence 3, end l3m number of terms 11: required the greatest extreme, end sum of the series 7 An». 49 greatest, 997 siun. ,15. Given the greater extreme 193, common. flifferene# 5, a^j^umber of terms 94 : r^uire4 the less extreope, and sup of the series. iln«. 8 |eest, 15l^.s^^p^, 16. A sum of money was divided among 12 persons, whpie shirei were in arithmetical proj^ressioh ; the firtit' received 3s., the sUtohd 7s., and so on: required the sum diii^ided' amdilf them, and the i^are of the last. Ana. £\S ; the last g6l^47iii 17. A traveler set out on a journey) which ho accomplishid in 15 daysi by traveling every day three miles more than he did the pfieeeding^ and traveled 49^ iriiles the last day: ilBqaiMd how many miles he traveled the first day, andthe lenglii e€t^ joum^T -Ans. 7m. first «bly,490»iB^'B»ldl|^^ m < ■ lift ' ■,<# iS:i f I- 0f m^ wSS?; lliiM, 1, it 9. ii7» 81, ii aniii^rpvMiNR "WN | SiPliili S7| 9t 3, I, ii • dtorMiing itriefe; 3 if thf mvlliplitr tiid tt#NM','orMHii«Mi''r«li9. ' ' "'";' '-;' jyifflf. tb* j»fO<2«(el df fWntrefnei ii equal to thiii..j>r4tfo6l of •QV t#o nwftttt tqoitlly dUiint firom tbem. Gam J« • Gi?«n Ibe leati i^iftreme, imtio, ;tiid niinibtr of iliiin% to find tho greateit eztreine» or anj diitant Corm. ^ /. > KtjLi. Raise th^ eommofi ratio to a powe;r leia by unitj tban the ttumber of the required terirt ; multiplj that ]}0W(Mf hfykt Idtil ternif the product iiih6 frtoaVeft. ' I. Given the least term 3, and the ratio 9 : reqoihM tbo8ih term. itnt. 384L % Oiven the least term 5* the ratio 3| and tho number of IHIP 6: required the greatest. Atit. If^^ TJb '. A mfirehant bougbtl'd yaids of elolh at. tiie priee o|i|be lait jard, reckoning Id. for the first, 2d for the second, and to OQ li^ geometrical progi^epi^oii : required hew m^c^:b• pi44: ;vw ,.,, ■•";*■.■ .' '^-^'W-i; iint. JC8 I'Vll. 8d. ; 4/A butcher height :(5 |f^t, oxjen f rpin i fi^er» Ayr what the last oiie would come to at 2d. for the first, Bd. for thefe<|f>iid, 4te.;^|ie thought he. ha4 made. ,an ej^cellent bargauii bi^ij^n applyiiig^p, a friend to calculate the price, he founa,tlie farmer hfid ^en tqio deep for hifu : how much had the batober^tp pfij for his 15 oxen, and how inueh a-pieOe ? ^ An*' J639858 la. 6d. altogether, or J63657 4i. l)d. a-pieee. Gumyll. Given the eztremea and. the ratio, to find the aum of the serieft. '^'RuLif Multiply the last extreme bv ^e ratil» ; from' this pfbduei'Bfibtraet the firat extreme, and divide' the rekniind'er by ^ ratio minue L ' ' ' .5. , . GiTei^ tbti) exiremea I, ai^d 2187, and the ratio 9 f^rei^vii^d tlMblHimi^f toe «W«8v Am, 3280 sufi^ ojr eei^r. il^Vt'What debt will be discharged by weekly paymenti»\M wUeh Ifae first ii 5s. and the last JC2048', the ratio being 2t < Au9:S4jmM^». it. A gentlemen, iwhos faadv a daughter martied on? New Yeel^ Ply, gave iler bttsbantt 'fowahls her p6rt£(ki: 4k fiKOHr^ ing^ to»lriple Ihatr Jtonon 4he fiiat day of every^moiith dming lis nmniifii tliplitrtiMl ; ■•„ .1 ■■ ' ttnitf tlitii I ■ ' ' n" iSltb»8tti Int. 884. » numb0r of iriot ofitbe »nd, and It U(l|i.8a. f » fiyr what thefeqond, ^tiie fanner ohertp piy 1. a-pie^. nd th6 turn ; tiom' thia s ittoiiiiidiir 1095 !$•. id oti^ Neir 4B^]i|0iii%li niOidiiihig ^J?**^ M^V^ ^^ tUMilMmi «»«if«M9 0ll tiM lit of DMMlibir, Ilid:irhat waa bia dftOfbteA toljyajltegtharT Ana. Tit adYanoa Daaaiibat la JM,iir8R;- - hia dauf hter'a Hvturia irdT. »8,144. 8. A Tiry rieh ilian, but not Ttry f«n»iit ia tfai aoianea of numberli p^rcllaaad 1000 aorea of azeallent land, lying oonti- fOOMtohi^'eitate, and which he bad flraqoenfly adfieited the propHator df it to aell to him, to iphioh ba at laal conaenUd open the following terma, viz., hia rieh friend agreed to give him 1 aorerelgn in hand, promiiing on the aame day next year td gi^ hiib 3 Boirereigna, an the aanie day the third yeif 4 iofer^gnai ind ao on, alwayi doubling hia payment for ^0 yearn: rajyuired how much the 1000 atirea would ooat him, not coontlbg int^reat. ilna. 1,048,575 eovereigna: 9. A ienrant agreed with a maater to aenre him 11 yeara, wHbobt any other reward ^han the produce of a wheat gr^in fo^ the first year, thai product to be town the aeeond year, thd BO on ftom year to vear till the end of the lltb yc^jr: required the anm of the whole produce, allowing the increase to be £a tenfold projibrtion. * . . T W- rt Ant,' iilUnilllO graina of whoat, oi^ 2960.6 buah i, at 5s. p^ir bush«l==:e5Q514 ifeward. Noie/79B0graintdfwheaiJiaapint:' ^' MUl4TIF|i|CATlQN OF DUODBCIMAJuS. .^^8 rule is chie% used by artifioerf, in tabing the dimeosBDna and competing the contents of their work. u>s\ i Feat mtdtifdied by feet give liet ^ I^Bflt multiplied by inchea give inches. Feet multiplied by secondu or parfs> give parts.! ladiea multiplied 1^1^ inchea jgive-parta. » i inehMinttitililiedfa^ parts give thirds^ Plutf multiplied by paHa give fourths. jl' J^i.^: ''u:»ai ^^lOtibiMhatiiakel'thirdinci^};^^' ■ -j.- ^-,; " l2 thkds nrabe 1 part, dr ieaonHj^OHM^^^^ l^parta make 1 inch. ^^^^^^.- .,:,.< .^ 'Ifi inches' ^ 'malro-1 ■fo6t.-*W!''^'t - .J>;VW--. Ktak. Place fe^t under feet, inches under iiiehei, dMs.;,then multiply thci lowest denOihihation of the iaultiplioatm by the hil^b^tof the ^ullfpUeH setting doW'i !be products aecord^f tolbd above tables ^ proceed with the less denominations of the multipHar in' tlie same manners ; 'u w. ; ]ittl4% 11 fMt 5 inch^a^. MolUply Tfe0t(6inohea4piita by ffsettinobea. : . hy 5 fiat Tlnl^HM 8 plgUN^^ Lit i.i M' i Ml I ^f^ '^itmrnM^riii^p^pi^i '%f;4i Tt- ■ :r. 8 87 '4 9. 3. 4. e. 7. 9. 9. 10. 13. as; i ^m. 1. M«li 7 ft. 4 in. ly 4 ft. 9 in. T 4 5 :ite^ drl .^. •*'-! oat « « 5l3 6 4 6 8«wi. « « ««. lif II ti it & % 8 m 10 $ 58 11 9 151 la 4 7? fi p,mm m 43 877 6id '« 177 *' 3808 f* 6061 i 557 II It 3 3 3 5 7 & "7* 6 4 9 4 6 4 " 881 7 9 9 6 ft 7 JB. by 9 ft. 3 in. 13 ft. 5 in. bv 4 ft 9 in. 11 ft. 10 in. by 13 ft. 10 in. 17 a 9 iq. by 13 ft. 6. in. 6 ft. 4 jn. 7 ptf. by 6 ft 7 in. 3 p. « 98 ft. f m.4p. by 10 ft. 6 in. 7 p. " 108 A* 7 In. by 5 ft 7 in. 8 p. ** 30 ft.8 in 4 p. by 8 ft. Tin. V 175 ft. 6 in. 3 p. bv 16 ft. 78 ft. 11 in. 4 p. by 7 |u 8 In. 3 p. J$3 ft. 4 in. 8 p. by 8 ft 9 in. 6 p. 91 ft. 4 in. 9 p.^ 9 fti 7 in. 9 p. Caib I. To find the aren of alxmrd. Roue. Mpiyply tl^ lengfk by tfv^ inens Hrea^ 14^ ^i^if ii ^ neg^ tf botl^ 10 feet 3 in«heikiil|jf| 1 fool 6 inehee broad ? Ant^ 15 feet 4ita&im 6 pmi 15. Find the oontent of n board 15 feet 1 inAh long, antf 17 iBcheabcoad .4fiib^ Si feet4inehea&paiili. 16. Beq«iireii the eentenl of li deal 57 feet 8 InebeaMf , and 3 feet 7 ineheii 3 parts broad. ; lAnt. 150 ft. 3 in* 1 pi 17. How many superficial feet in a board r|8 feet 8 ineliei by 3 feet 11 inches ? 4a«. $3 feet 1 1 iae^ 10 parM. 18. Required the content of a boMird 3^i9pii^g^ai|4 1 fo(^ 4 tnobes 3 pam i;';. :;o ' '•.-;■ 6 «5.mV,/,,.,, • jMfr 3&ft..8in.aipt, jPasb II. To find the solid content of sqnatsdtittAifti . i'liiii^diiiiM^j^tN Miii b^ the mitTi t^liAmn »n#%lili(iiill^tiMi lingtii, gifes the loliA oMUutS ^\4 ,■ * ,.f I '*?■■■ r7 )i if re 57 5 e 4 efl 7 9 9 iM5;|M|ftt. AwkmMntt feet aioitiMt lOpfeiti. inohetloBf, inehei et the lee 8 ptrlf. «■ long, and lilTI TilliMTiJiilli nfttf uWntMUKMMMm ii Ifll^ 529. Howini|]iyea^ie'ieet in 11 ttt^triMidi^iida fL^ id/ deen? . 93i Reqnirecj the oontent of a fir loe, the length. 97 Jt, th< miNUI>tt«adtht'lt.lOin.<4^Afthein^an%^ " . . ^^ . . .6-;- • ^.' Xi>;.' . .^■^i^lBift.lO.iiii'^^- StAi fttaoi^i the solid consent of a stone 3 ft. U in. thWlc* 7 it 9 b. hfoad; uM Id ti (iUi.Mi' iliM. 414 Ii 10 in. 1 pi. ^*: jJ^dLl^ conient of a log o£^ij|^beryiU leii^th,>ei||g;$l|5| bC| ana its mean breadth and thickness ei^ch 30 ii|. feet feet. 26* Reguii$d tlie sdid conieht of a log of'^niaho^nV 7 ft. e^ iii. hi^d, f'^ 5i in. thj^^jf, an^^ 53 ft. 6 in. long. , ' " ' \An9*- 424(7 it, 4 in. li pts. dti'^^frjDia^sblid i^^ll^'a block ^\iMie4^^m. Wv^lft'll In; thick, and ^ ft, 3 in, broadj 38|v #Mi|^d thev solid content of a beech log 19 ft. 4^ in. biix»9|f^in.|>rAad, ai^d^iiii^^ : , : ' r, I^B r , -^«*' 35 ft» 4 inrl^i^ p^s^ \j-' er. s W| CmtViV To find^fad^'sd^d cbnteiil i^'rouri^ tfh^leiv Cop(ui^M,4Cfi^^<;:?r7ake i of the mean girt, and moltiply it by I it^If, ^1^ ^e jip4acti|>js%thci;|f^thi(>r tiie solid contour* ; ^er ^ This rikle gives tli^^boittent too gniali'by'3 fe«t oa lt,'jr^t lit ip ttf]iv«r«ally uped in':pFactioe>and was t)riglhaIlyfoirodiic(«# to oo|Bg|li}«|^lh.e purchaser of urouadf timber foritbii watte deciidbiHKfc byMfffuriog^it, Th^ triad JSu/e, though never used, is— Take one fi(Ui.uf tha%(girt Bn4 muHtply.^t t|^ri»any soUd feet in a tree' 96 ft. 3 in. kwir' ::.id'!tt "lilT . . ,AnM, 59.ft. in. i> 0^^" •Dd 18 inches* »^f5^ >fA ^1 m'' i I \'-n I V H !l I li; i' '■'' il'li I! I' hi' I 1,0 i* iiiiftitirii TiTftiTfliftr Miiiflittu - tong^ ^uf g 80 it 9 IP* and bre&dth 15 ft. 4 i|i. « rfiIagirl;lQfti6in.: howmahy sqii^te yards iHisiti it? >* > " ? ^i AM8. ^ yds. B ft: $1^. 10. What is the differisneo^lhe iiMias of the'flbdrs of tm rooms, the one 43 ft. 8 in. by 30 ft. t iH., the dtber 38( ft. 5 in. .|^49ft7in.7 . t; j^. 73Q ft. 7 in. IJ pla. li* The iBanal whieh joins the Forth and Clyde* is' 3^ milM ^ng,,36 feet,|l»road^ and mean depthj feet:. required the iiutober of #ibical yiida of excavation. iiiia.« 1,330,5>69 csydsi i^llr^ ^ How 9!pny brick* witt buildA waU 60 feetdtong, 8 f«iet higiirlinid two bncks thick, at the rate of 140 hrtdka per atan^ ^j^ipare yardl» ii>^|/^vt'-s m ^-z ■ v i*^ '^iht'ceiluce a briok wall of any thickneM to •tandard id iiiio 7 aeafii, ok? - in. 6} pts- oor, ftteatuiitag h is 5 ift. 7 ill eight ii 18 ft. 4 ^ftTds iriB hi it? d8.3it. 6ii|. le'flbdrs of two tberl^ft 5in. t. 7 in. i^ pt*- yde i8 37milM i^ed theputober iBeiJoQi,8f«et iriiiks per ttan^ 81. 6d, IVJUUIIw Wr VBIItw Him yffiiF littf i«i j&t Irn'm^m' IK ' WbM will be the expense of lining 9. wdter oil 10 in. loQf, S ft 6 in. deep, »n4 1) >^ broad, with ifaoet Umd, 10 lb. to the sqiMre foot, ii jCI 18^. 9di t»^r cwtT 16. How many s^iM' yiErdw of itMtdMNl rfaiMitJ/i^l^ wajlf 75 feet lqi||r» ^ ft 9 in. big|i> and, tbr^ briolp |hiek1^ ^ . v^ii-toL^^^^^i^L' --i--''^4r'k - li•^^J^^''^P^I,%^?^v- ^. What rt t1^. T^iie of 5 oak |»la^, a*_ li.39^.^p^rMt> 6a«i 17 ft. 6 in. long, and wliope breadlns are, two of Ineiiii ^&ti tttih:^pit. m the middle; this iftird 1 ft. 6 111. In the midflte^, ^ JRraMfi ll i^. a/ti. ; ktiy«M41. ,1 i M i,^ <*« A 68 feet 6 inches in length ; and in it he has , ^^ Wl»gtl?j or the c»urt, yard, and 5s l^t AW«ll<^ 1»mII ;; jihe ffijot , ,way is l^id with' purbeck stone, at 'SL ficj' |MDr yard, an|, i^e rest nrj[t^ pobbl^ at; 3a. per ji^d ; ^lifk(vw^L;tlie whol^ CQiine tot^ ^ Ana, £4!d its. Oj^d. Sie Appeidix'^No^'5» ■^'- i;t •• ri-ma . •PC FIND THE TONNAGE OF SHIPS.^ ttoii^: Ituftiply the leM^ttlv^f tie k^l, t^A W^hni '^ ' {vessel, or i^ much o( the ship as t^^lds Upon tliy Kbl^ tkh breytdih; td^enis tttje'^eptli ; tl^a^d^^d%iii^ph)dtfet ^ M, tttitf U$ ^ikaif^t ^ittm^ tlre%iiii&§. "••'■*■■ ' ■ i%*P- ^•'y'-' >'^« f^' ■"■ -• " • •■•^^f*ifc-'-^^'>"' ■ l2 ■" '■ ■ iil I ' :!:':mI iiii 11 1' ■■ ,ji '4 ii'f liiji Plh t'! i: « -; ■!"i 1^1 *V? J»# Jjt^ ftfl, m4 J'i- e of a ship whose kefll^ Hi ll$tf 1- :r Is a|iMtb«tf.fifeti io tbi number of chanffes of order or positioQi of wbiditiiR^^Of^ mow tlngSA>e> susceptible, .nm.,- ^ -^ RiiLft: ilultiplyjiil ti i^rikiaof thenatci[yiiI^H^^8srHt0a|26japi.:,; d.;^ How many pefmuiations can be made of the 9 digits t ^, p.ovr many perj^^utations ean be u^d^ of tlM, letlpM^n ittQ^QT^ mt^ri^eif ? Ans. 9^8800, ^r ti There are two circular pond8 in a gentleman'^ ^pleasure Ifroaad ; the diameter of the smaller is 100 feeti an^ the gMater 18 three tiitiies as large: what is its diai&feter? '■'<' > Ki > '^«** 173-2+fBet Xh There j^e ,two columns ja the ruins of |*ersi^poli^4eft stalndifig upright. Jithe one is 64 feet above the plain^ §ii or ooit irtatt £9 Tda. 0|d.|}. III! •l'!' ! m,i. ■■■: H. ilM liliiii IJii imtiihii iiiii 95 I W ;OlMbeiof n^d hii^ifn fftidiilT } of lh4iMl bo dbiiiml Hint^ tli4 i(iiolieiii ifill b0 42 : what Was his ag^ f J^^ ^. 5 i. m^^^'gMtlemiiii' sent an order to hm grrotii=^?^ fol 1 6wt. intMr.'ltt lOd.j^rlh. ; tlfo gmeer hm siibii0 at fhiit i^e0> tlid^ '8(d. and lid. p^rfh.: iio# men/ Ibf /> at Mell of ^eea molt h^mix to|fether to eii&cutd th« 6irdi»r? ^' ^ ' i^'lfe lb. at 74.^, 161b.j^t 8d., aiid ^90 ai U^ ^qiiaii ihfL'- ^<%rncti,, ixnd 5 times the price of ^|i^!|nif<|ctn Vk Bam mm^y i^jnpm^ ifomv»nj i4 V^ vfimm/k sit in a fifies^t positiqn r^mA 9 taj^k al cBon w ; aoii whal vf^oUi. lie the wliole expense^ avpfntting e«eh dM»nei^oit 3^ J)|.% Ak9, 4790(^1600 days, je778377600 expense. tha il Wd nun aiE w&at he ironia naye for ttie rewara 01 qiMneenintT. ^KlwvliesslolS'd he miira't have piie ffFaiii of wheaF|riYea^ini', luiil, wW int^iidbd him a noble reward* was displeaMd^'ifiiilb'e askill what lie tbooPt speb a tri|n1 bat Sessa d|eiarins he ««|0M b|} eofitented wjip it, ft was ordered to he nten hl^ ; theMni Was astonisbea'when be found that this woofll iraig^ so ifwt a quantity, that the wbele world eo^td not produce it: k«^faSliQAhe number of grains^ and what their would aib^attt to i4U«s.||d.'^r bushel. • '4iii. 1^446744073709551615- {fi^ins, at 10LS|^. avKinom 90m muwmjkmm^ rtJl^-'^J wnummn worn mMAmaiAmm, Wm ji roeint by tm^Munl WM. ^ jov "Mia b9^ pttof«iehuige7 Whitv^io'jfbii dX3^4h9 eoniM of >f fot 1 tmu /at Meli^of ehBiifet !■ the eoune of csmilfSi.imt tliMljt the MBi li tiM Mr of e3i»iMiure f What ia the mMiunff of igio ? of iMBO^t What do^ fS^ma-hj iU^'ot'^n^J'Wmim ^ l&itiaii «». eh»D£)9 wjth. Holland t< vith HamhimEbt Jivilb Fnuiaa^l y^ih Il4t^>ffse» rsMM ait 'in a bat if«oUiJi9 00 ezpenae. 3 'the Mine of tneer irmwaoiii^ itly^i^ecorainf welr^^: ihi leaaeirifiiiiB'e e iroi , ^ , I produoe'it: old ani^ottt to :i«;'..n.. 357na.|0id. Phiaaia. Untied :Afa brgraea Blil^^'^Tii ill tliWb6i]bi^ar''WHit'1a W meaning of Alligation? What ia the meaning of Jnrwj^&tf Wl^t ia tiM meaninf of ^^ohalidn f What do jod mkkB\f tha a4nar» iooC^ Vthii do yon metn bjt Ihe' aabe mott 'il^ it tlw >«le tif poaition adi^lledt What i« Ariihmatiaii Bwu gieaihin? Kentioii'an inorbaatng' aeriei ki'ArlUmetlmlcIl^ l(>ba|on >-^ deereaab^ a^riea. What ia Creomefrieal Frt^km^ fion ? Name an ihcileaaing aeriea in Oeometiieal FibgieaSoii ^ -a decieaaing Ben^§c W%M ^^ mM ¥'^^}^'^'', ?' Daodeeimala ? How la the tonnage of anipa toond? What la .'.n : i '>'«!.#«. . l^ c.r, :L<'- '. ' • ■ 1 i 5m (If ' •X' • /^- ■ •• -ft .b OJ i.nF; ill!" :v'»/ ■-.ijfj-jrAvrj;/ ./.', :i .'^.0"5: rfHOiI-,.'#Ti> >v n .,t'.: 'hi VI' .VH .•..I'i 4.^i i^Baid^^k ^ what «>o(J»,tro h^^.^kl •mOrJIY SINGLE. > bailie htdgtt araiiiMrtsdllM t^end i«ooaiil* ]^loiigiii|pttii «il«il' penoB, which i -lay diflpened jn >tb« :fi^-]mk,^«a4 u| ailMiftdi tin thick proper' brdct of Dr. and Clr^: .the. left hind w^ofAwtirj folitf Mirier iippoiiitc,d for the l>r« aadtthe riflil liDr tJM/^lv An Index, 18 prefiiMd to the .Ldd^i eontMauilf the QamOtDf the peoioB* wooee aecouotaareinit* .. '^f - '' )■?.'• »•' • jt ■■ .;4 ■■'/ •".*■ >. ' • -' .■'life';' t. • DIEBOTJONS^OR TBS \^,^BABHC% \; .,„:,' |f ,,.j Cm into the Ibay-Book one montna aojepiwitfli a#d Ml<|^iale them hytheii^ proper mlea. Then begin with tl^e first aecbont of the Day-Book, and post it into the Ledfer* leaving a apace below it to contain more accounts ; if Dr., write on the Dr. aide To Oood», or Cath; it Cr., write on the dr. side By Ooot^, or CmA; next enter the name in the index under the first letter of the snmame; and lastly, write the figure , denoting iJie f<^o of the Ledger, where it is placed opposite to Uie account in the Day^Book.^ Do the same with all the first month's accounts, and then copy the second month's into the Day-Book^ and calculat<^ and post them in the same manner ; and proceed thus until the whole be finished. Note* Befora potting an account, look into the indvrs, tnjee if the name be there ; if it !•, pose the aoconnt in the space below it ; and thoold any spaof be filled up, you muit open a new account, and transfer the balance of the former one to it. Besides the Day-Book and Ledger, n|erchanti, even in a retail business, find it convenient and useful to keep some sub- ordinate or Bobsidiary books, viz., a Cagh-Book; in ^hieh ace entered^ on the left hand or Dr. sfde, aM sums of moiiey re- ceived | and on the right hand, or Cr. side, all sums of money paid away. An Inooiee'Book ; into which are transcribed tall invoices of goods received, dbe. A Bill^Bo9k; in which are recorded the patties to each bill, its date, term, md other parlioitfan «Qn<»ming it| bn, diitinet oolomiuK HI .1. r,.;- ^-4- 'i ToraM0,JM.¥;MB&' ,rri,T. .otiKi " T Jll)blM«. Dr. " •''^'' ph do; p2|..JL..;^^ .mJ9^^ 67 do. oati ...:;...;. .,(»' 4i.0d. I-. (■<,'. #/ ■:M .NC Rohirt Jenkinmn^ 0r^ ;' 1074 ydi. brown«eloth' (9 48. 6id. 1/ .«; J0eph Wakefield, Br. lb. ffrc 9| lb. bohea .T.... O 9s. lOd. reen tea :..... ;.;.:^.;.... (® lOsl Od. / 6 oz. 'nutmegs (SQu. 6^d. lOi oz. blaok pepper .., O Os. 2|d. 19| lb. 8^p (B Of. lOd. ! •5 V"\'^ 1 15 Jonathan WMterton, Dr. r> .. ^ f^ gallons binlui43r> «t>C j. . ^i*.*. . . . .«.« .v . O , d&Uiv jl4i do. ;red poii.., f® 188. 13 do. Malaga <*iO SlOs. 17| do. Lisbon (&) 198. 7 do* Mountain (SKdlf. I ^ • ...,..V'' »^^f^- flenry ChodfelUm, Dr. d4 ,.....ebcoii ii^ 78 943 ■ '■.:■> ; '? . t uM ' i a 6 galloAs ram 19-188. 10| do. gin (d 368. i i^viiAJt, • / 16 15 ii* •«» 41 ,.U1 »3| ,1357^^ i^L^ .,^d ^ V)l «1. 6 *•■■ (■ « ll m. • i M ;i ii a f'i 11 ]Mir Mtcb jp^gpc^nn A lift;; <|NiirihiU|fll|jMbiigg..... (B 84a. 19;|^ir forft4^t^|Mki||f ......... (9 4f» «IS|Afi W0«ffr2y, Btq., Dr. . 87 ptir i«rmteen hanging..... . (9 96«.' lOd. ;i9|Nar jiqttpil han^riiiga /S^ S^i^ 4^ — 88 • J«iithua HmuBeJkeeper, Dr, ^7 bashv3 pkt. pease (9 9i. per. 1|U|||^. 4 butb^^j'pl^ j^s .^.... f9 14f. dftf , g^b.1. 8 ■ ■! rrrr ¥ ^ Humphrey Arm^t^^ng, Br, •■ 7 thooiiMi^ qaiUa ...... (9 Si. 9d. per hand. r/'8l reami pi|per (9 la. 3d. per quire. : ^ O. -., , ,„ .. . Thoma» B^9U)mon» Dr. <^v .i-> il7 atonop aoap ..'^ . .v.. . . . .... . . . ® lOd. p0r Hk' ,:i, .■ — „ . '-''-■ : -i$« ^ — ■ •■ ' af 5. ft 3^ 9 17 16 1 H r Mra. Arabella Fearnwt, Dr. 19| yarda Eiandera lace (Q Ida. lOd. do yarda ribbon (Q la. Ud. 4fana ...|.j. ® ;5a.6d. 9 aarceinet hooda (9 8a. lid. . : >■ , * ■ ; V. ~ i . _ , , , ' . . •; ^.:^l' , _j, , , ', ' . [,,/ 0i i ■ .-J,'' • Mt^'^fgs^ge Mountain, Dr. V l7liMaJ#iQe ..^ ;..^.... (9 ^654 la. 6d. M ,■ ^1 " 1,919 i i 99 1^ t ft 3^ 9 919 ¥ n 16 ■J 1 01 1<< << i 1 4 1 e m- mm SS9BI * pair; Mir i. .■■ 34. 9 19 IfiM Zoti^ Durlingt^n, Dr. ^\ . 14* yard* foWif^W 9jUf ... • r.r- (?& % H 9fliyArffs ijilk damatk (S> I60. lOd. ? Mar."!.. 9 ■ ,.■■'. vr 51 189^ . K Jpteph W^m^t, Dr. 8^tone|b^con (Q 10^. per lb. 15. Sir Henry Greaiman, Dr. 4 table le^s China <» 54a. 9d. 2i^ dozep p^ea o 55s. Od. 14 eoffei^ oiipa (S> lOi. 6' ,hf' ^egory BifMrmin, Dr. '\ M^^ligHah llBftdera (S^ 28. S^d. 1^ Eaclfd'^ Elenienta ...:........ ra 7s. 6d. » ' _-,23. , _„ ,',' -^ I If ll^la wheat ® l^a 6d. ", ' 1 . \ 93 19 7 ' ^n, ;r 30 .III;. ii I !;ilOin w MR i lM*i li m m m . » .« '\ .ToiwMtti Mar. 11)1^ IStti , ! . J .- ?/J 17 4os.MiiliiSf«i....j\ «. (9 imifL- ;i< * n Apr. 4. iUeMfitffr Penrith, Dr, 904 yards Nan'kednf ;.... (9 9i;4d; . dral ._ .,^ 84 yardiiiiperiorredeloth...... (9 681. Od; 90A _^ ._ ,SS| yard! iapbi^ltliie eloth ... 38ii'6i. S7| yarda ■uparidr drab oloth ... (Si*S4€M. Cr. 7AoffMi« Borrototiian. By caab in full A... i^r <>* 16. . (U. ' I .; Jftat XotfiM Darlington, Dr. aai yarda figured silk ...... ilL 90i O 8a. '.A Jfn. iiraft^tta ^mnm^ Dt. lidOyarda riblKNi ...,.....« (9 Oa. 7^* 86 yardi camlet (Q la. 9d. 96 yardi crape .\... (Q latSd. .60yarda bombazine (9 48. Od. 40 yard! grey stuff (9 la. 9d. 25. ■J -pmteiN OWe, JDr. i^i yaraa superfine Une cloth ...... (9 38s. J 5i yards auperfine blue gfey, ....5r-(9 34a. i98i yvd* auperfine raven grey (9 34s. if . Is >.*(•, . '1 > S3 ' ; 197 9 13 ^ m 16 6 18 6 10 II 9 4 . "i > S9 ' ; V 197 H-.} 13 3 41^ P» t.\ 16 18 6 $ 10 11 9 4 •fPwTl^^fl ^T«boBto» A|dllV, 1041. •Ml' fll)r JKniry 4J^tauM, Dr. A sUf ar Mp^ wMt^p. ;|^6 dwt a tf..«4^iii. f I .1 >-< 1 Or. £or;d[ l9ffor|r« Mwntuin, . , i, , \ , ^ By a biliion Mefin: Dioaglmi 4& do........^^... >/ Lady JAutHitg, 'jUr, . .ddjaidiMiamftnoo <9 li. 5d. ^5 yi^fli Periian (9\ 3i. 6d. dlyardilawn .^;.. ....... (B 7a. $d. ^ . din yarda j^ambrio (9 18a. ,. ..<> ■•'>(■, trrMiy 1.— George Trider, Br. ^^ SMyardf oheoft; .J.....;. (9 la.Od. 183 yardi chedi^ ..J...,.ttk /9 la. 9d. 434yardii^heok (Q la. Id. fr- NkJu^Uie dkeeeernqtigert ij|r> ScwtSqr. 171b.<^eahire9hccae iQt 848.percwt, 1 owi 3 i|r8. 14 m- G'toaoeater d^. (® 748. 8d. 4owt O^ra. 16,19^. Su%ilk .,( do. (9 65a. 4d. 6 «wt. 3 %n, SO i|b..,¥pi|u|hira 4o^ (9 56i» Od. (f ■>.ilV 3 <■■) V, .ft ■^ ?! 76 dso U *93 ( > 78 54 1 1 i} Oi • 6 1 > •/ 9 (I < H 16 I If '■ .1 U •' , ;i ,i: :f lAvmim XoioDto, Maj^l^4fe --> r ' yards wonted Uuo afasff ... . ; ; t9 1% 1 1'di ^ Wds wo^a «<^M *h4|;rV (S^Sii^aL, 1 12. AJ.^ Miff LomM Darlington, Dn -v ^ SI yards brocade ® 9s. 8d. i yards Ijastring ....HT....... (^ 58.3d. 4^ yards Persian (® ls.m 1&. Jikej^WakejUld,!)^. fib. ffTe^n tiea ^ IQs. Od. ^irib. bbhpa ....;:.,.. ^ lO's. Od. 9 lb. pepj^r.. ..f ® ^8. 0d. of lb. ooflee ...»^.i.r«*..«; «*..... I® Ss. Sk). 7 lb. raisins.....:;..^; m. Is. 6ii -_L j^ 27; Or« Robert Jenkinson. , Jilhe 6. : J(9fAtki Hoiisekeeper, Dr. V (jrs. oaiB 1$ btish. please (® 9s qfs. oais 7S> 48. Od. per bdsh^ 9s. cfd. m ] 1% biish. beans V. . ;i1it,;i; r;^ |^ 7«r. 6&.\ dio^ ' 1} b;* d^^ 7 q»s. milt ...'.'h.iV;.'..:. /©' 10s. JW. i; '4p. a- 111, 4- a^ J i 5 Vf 9 MM* 17 i7 it-';') 2 \ L IQ 242 if 65 2 jfipi 8^ 17 19 ■•'*.;: 'v^.i 44 <.,■• la^ ni 44 ,yi. :>.'■.■»',■ V* } 7 I»> 1 {•^pOMA, ■ ■.- 41 1 , ; 17 i ' 2 1 44; 1 >.^>^ >• "i . • ;■ • 71> § V J 4 t • It 343 44 . .. 1 >t 1 1 . 'j 7.' ) 1 J, 65 T iwf^VipnB . A OfOQiOf «K|MM Z«f ToVR , ■■■■■■■ ^_. '*''•' ■)s"'-'>'>^ ^iHwi^^^^.^. % A, ^ i^ . j. r,, "jil 'Vk; -liO ."i « * Trn?^.7 •1 -•!i tt '*;l.i'; ' ' tlM' 19. lli^illiam Ahimti, Dr. 6 liutsfiifley ............ (9 58.^.^^!)^^. ^& ■ T T? ifieei^ skins O Ss. 6d. ifeifreei^ skins ....;;^:;;..;; ^ Ss. 9cl. 15 buek.laktns (Q 2ls. Od. 17 Busstp Mes.. (3> 208.% 120 ifctobiiki«« ....,;. •,....'... ® 2d.4d. J lilt July 7. John Moniag^e, Dr. 19 galioijis gin (Sf 64. 6d. per qt. 20 ankei^ Mrandy. ........ i® 25s. per gal. M 1 6 12; V'i iii Tkotm^ l^erchant, Br. ; 1 ewi» 2'qr. 18 lb. pepper... (9 3s. 4d. per lb. I p cWt. 3 br. 14 lb. cloves . . (S> IGs. do. I SlO CWt. 1 qr. 7 lb. raisins. . 1408. per cv9X. i 4 CWt. 2 jr. 19 lb. 8ijap. . : . (Sf 93b. 4d. 14. /dMif0 Hckaekeupwt Dr. Wl TOxen lb. candles . . . (S> 10«I. per lb. !''.af..' 1^ it 76 4 t% 274. 343 ■ ,f ■•• t 13 14 % 10 7 . [ r ill ^iSf? ;j: W#f1 I ,li t.: i ■P MV mllm ipjl J "»»« . Toronto, Jul j ^^^^84^ »*ii 6 panchjBoni mni (2) ITs. 9d. per gal.' // ^ii^ houiad Darlingtftfh -IV' >, iO| yards satin . . . . . . .^ . . . . ; .'^ ^ 9s. 6d. 15 yards brocade. (3> IDs. 8d. .11 scarfs (S lOs. Od. 14 yards Qenoa velvet ........ O 17s. 4d. 10 yardu )uatriog« . . . . « (9 5s. Sd: 3 -*-r»- 26. Cr. Henry Goodfellow. By cash in full. ....... // George Candlestick, Dr. 6i tons tallow &> Ts. 4d. per st. Aug. 1. Joeenh Wiimot, Dr. 90 St. 12 lb. bacon (S> lOs. 8d. per st 13 firkins butter (eH 54s. 6d. per fir. William Ogle, Dr. 43| yards broadcloth • • (^|. 35s(« 1^1 yards comnon yard wide . . . . S Ss. TST yards fine narrow , (S lis. S4 yards raperfine blue (Q 38s. I v 1658 447 m ??; d: 33 id 381 51 ■'i \im 11 ., / 5i 6 8 7* 1 9 m £ •. ! d: ^ ...-. i-M 1^ ;■/.. .. i' 1658 i UK ''e 3 ". ■ ' '\ >: I i . '' L' ■ ' ■ . .-. 3? ^ 5i id 7 6 ft 6 8 51 17 7* '."/ ? ^ \m 1 a ,l> .^-H- •Jr. ToioBlo, Aug. 4i 1141. - '-L-^' .i^ino iu ^ | J[ ■*'^. .•«'i<»^'^'»Jr5i lO'ewt 3 qr. 18n>. ■ogar ......... (9 79§,Mk 1 cwt 1 qr. 17|(b. teik ...^.^ (9 J639 13«M<^ |S «in. qr. 17jlb. misins 93i. 4d. '8 6wi d qr. 14 lb. hops f® ll3f.M I II * f oaiiji .^i m . . My-a i'^/ 'u»!.vi . r ■">!■ I J^»^ SHrReimi Oreatman, Dr. , lO'oK. 14 dwt. 8 irr. gold-plate (S £$ 14i* 9d. • FCiroz ,......, .J. ....^i^ // ai • «. > ■•'■-,* ;.oL- .i>.r^ ^iiij. ( I.:. M — ^"ir - i l l .. i, .j:ij>. .,,■■ . /•ififf ^(gweaHle, Dr. 5 dbk fioe steel snuffiMrs O 8s. 6dl per pair S?4 doz. liMidon r&zors ... (Sf 3s:'4d.«aQll^^ ' 6f dd^ ICentiri^ hatntners (® 19s. per doB.> ' 3G. (k. Jhkm WeMteriy, E»q: Bj cash in part 24. Jo9kiM Hou9eieeper, Dr. aOUoequilU (9 lOi. llfd 9 chintx qoilts ,. (if 24s. 9d. 1$ pair blankeli.i^.....;.;;v.;.^> 17s. 8^4 Sept. 6. Cr. Jfri AfmhelU Farmer. By eitib In fall M M 35 100 H 44 8 ;■ V ^ ■^■■ tjT^; |8i 9 M; a 17 lU H P1 1 I l!t ( .1 IH' IMJMMUKib TSiwumtOy. 8ept..ij4|4i» .^tfii^.(«««^.'^r <, Vi' ^^^ ^^ ^t" •■.'! ^w- r ; I ■ ■> . «o. . Uer (54gftl.) ... O 1«. 64.|per gat. gil|l**...«M....».*'«;;"(9 vti ttfl. pWf"^^ f '■? i...i4 fir; TTT-rr :-^5 TTT, .•ti^^'M^-^' ' "' '^'*-^«T-««^« -^« '^' •'^.|'S( »««••• • •*• •«• •• •^»«-»' -It* i^ei|Ll#.'7 Ib^ ChesbiM ... A 84i.;beri^^ W^'Oljqr. 19 lb. G16\icedter O 74i. 8d. Ak owt lljqir.iie Ibi Stilton ... & 149«. 4d. do. o#t Oi^r. '14 lb. Sufibftr ... i©-€5iS. 4d. ^kfc 1^7. K } — ~*- 20. Jotkph Wd^eJiiBld, Dr. 6lfll^.t«§s... ^... (S Tid^ppri^R.. r :s; ; rfrH-f' ^i MMii* 5 qhi. oito :. .....* . ...* ; .i. # 4f » Od. per .b«|lp>. ^ _-i~q|»iJj|iiv|........... (S Is. lOd. do. i iffbMl-lpB^no^ (B 7s. 6dw do. l| l£sh.>|tarit8 (^ 148. In ^<^. 16b|ish.|^«i O 9^ 'do- Ha ;3kl'-^ : ,. ......Mttk n I m iff 1 ■BpMR f. ^^. «« #11 56 10 .( '. t I 'sri :': ^ 4 ..,,. (H 8 ^ la 1| 1 0- 111 -*♦) r^ Cr. B Cr.j ^^ Sir I m '.' .1 -St * ,ni-^<'^' cm iMfd ^MM IfowiteM, Dr. 9tft cut. ifdirl, 10 gr. «&¥« plate... la 2i. Slit as ^ 14 ' :! : rs shw J^ift a» A 0' •a^ 56 10 111 -w-L -r-*-f ToRWjUb Qet J* iS4f*i '..A> m' 3. A-4 . ^ la.8idi^ ; j9 la. Si. 5. Cr, C^pBTgB Wrmder. BroHliimpaEt •« • ••*••*•»••«•« «»«« •«■**•**>«*••*• I 2«4^ £i(««rtag^, Hr. 6v ydtt. oQcape ....M»...«.....aM.«.... .^:aa.4ia* > .SHjMhu brocade 8b. lOd. 714 jNls. Persian ^.....^ (9 la. 3^ 211 yds. luatring O 5a. 3d. ' » ■ a Oearge Tradwy Dr. Id atoneia loather (Q 2s. 6d. per lb. ■■ ; ■ " ■ ' . 1 H ' .,..- r ! Cr. Jathua Hout^keeper. 10. Thm$»Merchantt Dr 45 e^. X qr. le lb. sugar ... r® 848. per c^: 12. - Sir Hknry 0rpatman, Dr. ii2 /S) IBs. 4 ^ : ->I 41 1 i i.1 d. it 101 41 Is .' I- aaaino'l :*)i ■ -J rem 36 T _.i r i naiii i ii ' ' 33 182 m . .»! 8 %m^ 8* i; II 5 1210 I' i. 8p » ' I ih ;!t- 11 ': a I ii H,^ I lift t :> I I I !!fc: -f:^ Mi$9 homi— DarUfigt4m, Dr, 17 ell* Flem. 1 qr. Flanders lace (® iTs. 5id. 90. o«. €>r,Qwrg€ C^mdleHUk. By 131 yds. 1 ^. Irish Knen ...... (9 4s; B}d. B^ 87 ydii. I na. muslin (9 Ss. 7^4* *' Not. 1. - io 31 13 ^74 15 Bif 37 fr. 7 bttib- oats ...^.^, .....,,. ^ ^ 39e. w Cr. I<«iy JDiwtrM^. B> In fulii».. ••••• •••I*. •.••*•. ..^'.V. «J.*«rw*«ki ' ll 3 1# 4£ 7 10 6iB rrjt :f nn \y. <\ .41111 2 3 ■n* 1, 3| i (: ! 1 hvrn t 31 13 m4 'I i#o '■4 154 15 4 Hi ; S 3 ivv ■MM '';'»'*«».'Tnltr(Vi' x^;^-.Sidae: ^ J^Llil-u Toronto, NoYr^ 184K 7. ^ — •.■•■■.. . . . Joihu^ Hitti§ekeeper, Dr. i^ fwt 9 qr. 17 lb. lagar ...... (9^ib4|jl^ ¥ Cri J^tfoA WAoIeMZe, Baq. f^ .o^/< ' ^7 4SK) yd jk broad cloth (8i 30s. Cn Vhie* Ortenwell. Bj cash in full -. 10. 13. *- f ■■■ Lord Oetif^e Mkianiam, Dr. llSlb. ooffibe ^.a-v^... id 5a.4d^ 52. at. sagftri>W..«M (S^ 7f. 6d» 15. CfTf Erasmua Gordon. Py 7 gr6i« buckles & Is. Sj^d. per pair 31 60 9 iii '.\ 18. Geinrge Jaminson, Dr. ' 4 U>xes raisins, wt. 448 lb. Os. 8d. ^ bi>ze8 raistnsjj: wt 637 lb.......... M Is. 3d.. 1 box'prunes^'Wt G041b. ,.,. 38. 4d. 8 bags pepper, wt. 1774 lb.......... & 3s. 3d. 'im^ 14 630 il 3 17 20. Cr. ^Afuj^cv Tom2tn«on. lEijr IBl yds. cloth fi» lOs. 9|d. u;' 24. iSr 9i OHMrge Mountain, Dr. 137 gallons rum (S 17s. 6d. 157 galloDS ram (9 18i. Od. 49 60 Usa 1417 97 3 •1 01 'I 1 » I mJf* m 17 i 0| i6»i 8 6 •';'■'' ,' . 'Ill * I |f" I I") I m ^^pf^mmMi -4 87. S^J^0ld CHretMttmti^lh^ ■ •♦»»*i>.»*»»ti#i<»* •■•■•■—* *,ii^ .til .'^M^v i' m oault»late...*,.;; ® «■• 4<1. oia' i o£ij' 4^*-^' Dec. 6. Or, AUst^d^ Penrith, ' Bj calif' in fnU .-tTirir-.'f<.iivr».Jii.*ov«r.».»- \ * •> ■• f !■« 'k* ;*•''.: ■ J 1 . ■ 1 - 1 ■ • . 7.- ■■▼— 1 i jR^er^«, Dr. ni yeriis iihaIIoon......^r.ir«^.v^..r /SP 28» 7clr 178 yai*ai ihalloon ^ Aa lM)i 175 yarps Yoiiflliiie doth O 9& 6d. 177 yarlis in^AaiibiC (S 7a. lOd. *'f! f't. 8. .r.i B>icaaUinfull.......... 'tU. /f 13 pi. ribbon. nfeaA 179 yd ul.a O! 6|d^ SO pi. ribbon,. Blea«: 9lt79 yd wi. ^ 7^» 18 pi. ribbon, MKeai; 9^7.yx). ...i^.A. ^ ft^^i l^ipt; ribbon, meas. 831 yd (S> 9^d. 19 pi. Miboa, meaa. 171-ydr *«...... )® •}*. ^- ■tj\i»\''V» Byi caafai in fail »««... ••..^.^..^^j '.aJ .fe^' " I m ' t '? ; -■ ■( ff . ffHj ! c^j tefWjit Bfoliixiipurt. j ij «naif ••&»lf. I'd .;v7 9S9 5 338 5f..;- ! I 199 S^l .1 \^m fVW'S)'. i i;7^ 1 L; t3?) 40 4 IS '* (', 15 10* .'.V 4 '•V. 4 tv; ',411' WJK 5 4 IS ;'?;i ^.'. :>l>-u:^ .■^' "T ', \ ^ 15 4 t i. V!;'»<:• n // <9tr lf«nry Oreatman, Dr. 746 ytrdi linen (Q 3f. 4d. 873 yards muslin / (9 Os. 84. 27. Cr. Lord George Mountain, If William Hardware, Dr» 350 nixors fQ ls.S}d. 430 .penknives , /2D Os. Ojd. 950 pair scissors i® Os. 2|d. S^O pur seissoM « . .^,. . . .....^ . . (® Os. 4|d. H Cr, Joseph Wakefield, By cash in fi^.^ • ...^ »•»-» •••••■* ••■••• • • * 28. Cr, Gregory Emermm, By easE in fall . . S9. Cr, Mi§» Ztomita Darlington, Bj^cash in full '■., . 3 415 1474 54 9 S9 45 8 91 10 91 im J i > i^ m) Or, 099rgm Bjreiiki to, 0M. ||«^I9# j>iii nll>jl^m^ 30. OByiMliiiijM .' • • T^Tt ... f 1 f I r ■' f i)f i) t ;. 1 • ^■' ) .■ ' .. r:. ,. ay^ ^. !J •,»•;••.( «t,1MWmV „. « r«'*''»k I9T W 3 .t 5 61 «:!!Hi? ■•( \f^ ah fi-'.fi.') -TU tt} m ■■Will iiliii HiiiJiKmiiiiiii INDEX to LfiDGKlt, m^^ .lit i<*l, (KjL'Ij^ Amttpoiig, ifomphrey ... ^•if^i^wii^a^ Thomu ChitotMnonger, NicholM... Calidleftiek, George jPftrlingtony Xiouisa Fanner» AimbeUa o Goodfbllow, Henry (Ireftnifn, Sir Henry Greenwell, Mose8.........i.. Gordon, Eraimae 9 3 5 6 3 4 2 i 4 5 Momekftp^r, Josi^oa ...... Han^eon, Andrew Hapdware, William ......... Johnson, ^Iliam. tekins«tt, )Rbbert Giorge •»•,»«*.«•««< 3 6 7 1 I 6 -...S^ Luatring, Ladj .1 ?;v)ii Mountain. Iii>idGeior|a..4 Monta John Merol Thomai Ktt#casile, Jamei dgle, Wimtpn,;» ..-4,....,ij »4 Penrith, Alexander.. Pattenon, Ambroae I 6 6 Bobertf,Daiiiel ......... Tomlinson, Andrew .... Trader, Ge^e ,...• ft UK Wakefield, Joseph ; Widlerton, Jonathan ^. . . . Westerly, John, Esq....... Wilnio|»)|oa*phS .. . ^«... . . .« Wholeaida, Joitl^hy Esq. 4 7 1 GeOtiir^ •=> » M. 1 1 3 I 6 — Hf (/ , IMAGE EVALUATION TEST TARGET (MT-3) // ^o t 1.0 1.1 l^ize |2.5 ^ Ui 12.2 '*^ lift us lAO I zo IL25 il.4 III 1.6 t: s 'W '/ Photographic Sciences Corporation 23 WEST MAIN STREET WEBSTER, N.Y. 14S80 (716) 873-4503 '9) Pi' ki 1846. Jqm 1t<< i I Jab. fail; ft ... lafU It 1 19 901 :.»■ ! 15 V! t4 ii,j ».' 8C Dr. WILLIAM To Gooda T«Ga9da licTvri •»•••« •••w«a -«•'»»*«- «*-•»«<«• aa^-A^^ a "♦<- vy'U8»|m jli Ij ». [ . ■-r.i:,,vm-li ri Y. ^'■^^, ^t.!|8«:.|WEWl To^^da ToGwda .. iiiJO «f i «i-^ •••••• Br. JONATJ^^ 1? ."^iff^^ "/"ill •1^ .H »» i . I . i uun.t..no ,0r, nmam TOiGWdfla-^^^'-^^.. 4 r»*'^'^' ' ' ''M^'ily ' '- 18 TH1S9 i w^'n 5:t f f IS 900 s'.:!'n 8 10 Vf V Jgg_ frm'iih*'' .-LmDru .fiaJio.|Alfl)B(bW' To Balance fmnQMd'^n^HL..^ 31 . . -.I ■I'l;...! ill ,*|OClk(;l 'S 49 ^J ,.. 99h 36 87 16 16 ,.. f '« 17 n9 14 I ;;.|r O^;- 1/ 4 V »-l>ie 1 H H li-.A' lot M 19 17 111 Of f 199 900 1 W ^B 1« 16 • I ,lb'iH'il'Ef' I'i- 8 10 :^ H 17 Aj_ lU ^ P 49 I * .VI :•?: S'i"^ O,'. I i If A nri 9tH 9H>tk>' 36 91 I 19 iBi 97 17 lot H HI 01 IE S3! t : I Of, it : iiiii. JTol} ;B. L-^ ^^ ^.ni, mesi 1 liftr Bao4riM 19 99 97 jrOHMOII(^l Cr. Ill •••••• •••••• •••••• .ii t. JENKlKitniy^^l Cri %CMk -;i il . ' N i. '^■••i^* WAKEFIELiy, ife '6 * *- ,Caih ymw^K'^n) % . • , , t WINTERTON, Cr. in 96 90 'j Caih *—- * . J 4|W ■■([ 900 19 15 40 11 9 49 ■■( ' g.i ' ffOM ' f ' GOODFELLOW, Cr. . ^7 Cash 9 1' . 8 TOMWrSQN. Cr. B^Gooda >••••• ••••!• •••••• , ,. *|J>1>0» ib&c^t! ■K i 67 16flt 16 4 -s ! 19 9| 9| a 'J ■I 9 ii'>l 6 il n 0. > I 1 |i 1 4 I i iHv'iii' ssmm jq/mse^yjfoi - , , . im. Dh 'r^ JOmXiM.iA'A'Jl Jt^ Fek To Goods To Goods to Good! To Goods ToGoQdf ...4i«3 • ••••• •••••• '•••••• •••••• •••••• •••••• ••••■• •••«•• •••••• •••••• •••••■ •••••• Dh HUMPHREY To Goods 8 mki f%i 90 ••*»•>• •••••• •>•••• k 91 3 35 17 6 S." / s Dr ToGobdi TB&VtAB 7:0.. • •••»•> ••»««*»ai »r«i«** Drl M rs. il^BSttA To Goods "fb Goods _ !:=i,Jt»<>'5., ■ ••••• •*•••• ••••'#•' ^ • ••••• •••••• •••••• 9 IS 4 a-' 8 . ■ m t i*!"' :! i sN '•In If SI ^!.:::; ■1 i'iii!: ilirif?ii I |,,iuC:j:..,l,,,: h ; fj 'fnhi Ftli. iaanoBHaBBaaaa! ■MissanRpMVHK *iHtj.fTffTi^:fv/' (Goodf i'o Ctoodi ro Goods uU fxOOQfl .1- ' «.»V,M« .SV.l** ••••■! f .1 ) pr- MISS:|dOWSA .-- f u ^o Goods Jltf 'KvOOOS " ITolBoods SgS^ .r',n'.wr,:.'ff-- !o Goods •••••• •••••• •••••• ■ ••• • •« •« • •.»>• ••»• • *,• " ■ 'I' ll^ ^^td: jo&am^^A'i i« • • • •• • • *• ••• • t«.«*» •«.•,•.•.• •.•«••• 3 6 H 15 '^;t4i ^«.iC ^ • a4i5irj# 8 511 17 10 ' ' .1 *' " ■'i 5e|io|ii4 ivm V' ■ if.;:,,' ''W;! U' r- I'.:. I iiii «^ oS'J t 4;..:^ XiJ 4^ -^ i m ;«>^. \6 m ii)i m Dr. To Good! To Ooodt j-i Dr. !Tti Goods To Goodf ti>C' •%....t •«•.*• ...... •»«.«^ •••*•. ...««j> GEORGE •*•••(• M*>«^* #•.•••• lU- NICHOLAS • •.•••• ••• ••> •••••• .jU"raAD'.7MJ': Dr. MOSES To Qoods ...... . 4 5 11 .,' V 5 10 6 Dr.l ..,. ERAS}i^lJ3|r,r*:rn To uoods •«••.. • ••>•*■ 7^ - ■ ■ ■ » . ■ •• ii'ii ) s 3 330 93 33 isq ! ,;f!/ d4 92 147 12 n 11 17 :i ^1 "si $ 1 s /O' 4^1 4 .: V,U yi^ 11 s 11 1 147 21 « fO'' :*r im II e; Hi V^f. Oet n fj* i< IHe. nU 4^1 Not. 7 41 • I KoT. \_ 12 10 15 •t.. OOtKi""^'- Cr. •••••• •••••• •••••• ^Jf, BmJmc6 •••*• • ...... !■ ' -^- » < 1 »< ■! TRADES, 6r: JDJr J'AlftOCO •••••• •••••• ••••«• « 41 !«., I CHEESEMONGER, Cr. BjCash By Balance ••»••• ••«^r«-- - vv**^* liDJlOClO f ' t ' l. !' GREEN WELL, Cr. By Cash f «i. t'3>lt GORBQN, Cr. By .Goods ^y Balance n8 • ««•«« ' ••«••• ••■^■« < • ••••• •••! I 19 970 19 T 38 87 ^26 10 17 [I'll 9 31 r ! ii f. 14 40 1U7 147 9 6 T 1^ fi ' 13 .'. 4i i;? 60 6 67 18 6 ^i :ff "'•*.^»'i;Siir JM : S #k e « ^'1 Julj Jul Aui. Octl p Julj[ '^;Goodi •••••• •t»«t« • i I M *•*.«•! ••••< •Wxwi fc-V^oLw' 1 '••*f . i^rmv •«*^> , I 12 4 10 36 t. Dr. THOMAS •••••• •••••• •••■•• To Goods To Goods To vvoods yf*^"?f y. <•/ tf,"' '-■'>•?**. ?i ' > t 7 i7« 1 374 14 J'.O 7 9 U 343 315 190 19 8 * >'*■ Dr. GEORGE To Goodi ...... .., 'A'13k V> Drj JOSfiPH ■ To Balftnco • Dr. '^' GEOftGB To^oodfl '^^oolt. »«•••• *..••• *•..•• O'J'-i.lK.i \i\ t^ i ii 74j> 16 7 11 6 8 $81 381 8 6 8 $30 13 St< 4^1 4l7 I 1^ 19 5 343 6 38! 6 8 381 630| l3 . M » fi.Mtllr M 1 i !J! t ',f!lr "I ; !^ lv!i!\ ! ' I fl . : . • . ( t n.l {14 1^46. u iu t; 8 v-^;a.-\--;' Dr. DA|f^EI« TpGoodf •••••• •••••• ••••^* p, AMBROSE To Goods fj! .. ' %%) ' 27 U ,i} lU jU'J I'; ii'. Dr. To Goods WILLIAM •••••• •••••■ ••#••< Dn BALANCE, •••••• •••••• «••*'•» f i •••••• ••«• •• To William Ogle To Georee Tituder To Nicholas CKeesemonger To ErHsmiis Gordon T«> Thomas Merchant To Gc«rffe Candlestiek To JDaniel Roberts To WiUi^m Har4w«fa |/j ^ «^>i>^^« 14 199 15 ,4: 14 103 6| 15 54 10 6 7 ,r.. . To ^^esent net capital •*..•• •••••• 270 87 107 6 594 313 199 54 I 437 17 2 6 11 2 15 16 9 3* 6 Oh 4i 4 10 3 m 199 9* 15 4 4 103 6| 54 10 270 87 107 6 594 313 9 171 34 2 e 2 199 15 54 16|^ U 437 16 5 6 04 44 4 10 17 ^mt (^0 \ -mx. i 1846. 3ft ' - f ■• .if .07. ''.'(;;•: r^' A ROBERTS, €r. ByHflj&iiee •,.*^ •..-.. «>•• 1 • 1 ■ 16 ■) I 4 6 '. i ; 19? •■> - 103 ■ - , . 54 36 528 630 437 ;< 1. L ■9 )[ ) 19 10 5 4 4 ■ :: 7 r JDee. HI T. ■• ,1 , PAITERSON, Cr. , ,...;■ ^ ^ ■ * 1 ■,..-'• ' • ■ ■ ; ■ - . ■ ■ t .! i6| if or. : r. V i . :•-■ ;■ -1- . .). ■:- ■ I "- :. HI, r.r. ' HARDWARE, Cf. ^By B&IftiiftO ....•• ...... • t lit 10 > p. . If :- .a '.> ■'■ i J . i 1! - BALANCE, ^<;n 3y Andrew Tomlinsqii ,,»... By Sir H«nry Gre|i1«Dfn ,,«.... By Joseph Wliulesale, Esq. ...... 3y prejBentiiet capital . : .^^ .... ^. ^ X >' Of '■• ]] :: =: : -: i:**: X 'A ':. , i\i ^ ^. - -.: ;ts^' X ;.• r. : ;i : ^ -^ - (u. X J) t ' ^e ^m: ;• - :;? tJ>;x !: t) k -^-:. T , ) -V V 1 64 7 i :'- t; ') or ; r X 16 il ^'1 \ Ml i; k I i ' :V , I 11 *' mmmm HI •mQOMi rn B. d. I b; d. ^ +1; 3 1 = 5 6 (>gi:(U-Mi4 6...:=;= .8.,.3 afpentdix No. n; , , MENTAL ARITHMETIC. | \\ lA.ri)hineftio is the art of cdil^fiigC'^ the rolnd; thdut th ) aid of either pencil or pen. i iuBStioiis, buch as the followinjir, for Mental Addit^n, Sob- tri ctii)n, l|uUiplicatio|i| and Diyi^^ fiiequently di '.taied i<^ih9Tanm\a. ADDITION. d. d. 1 8 9 r 3 1 ft/. 14 [..15 16 18 19 24 27 38 il. 1 7+12 8 t= jl 7 3 8 -t'la if :&!! /»a6 1 4- 14 ' 6 = jl 10 7 5 + 9 11 ^ 1 8 4 3 + 18 7 s= il 17 10 e-^W S"t=^ 4 2 9 4- 25 7 ^ 2 13 4 4 + 41 7 ^ i3 19 11 r7^TA%f+ 51 11 i= .5 17 1 SUBTRACTION. 11 1 4 1 10 a_ 6 4 11 3 4 6 10 b= 4 'r^>''^>&a/4 I ..(I. d|f neiijf i«.v')d.i 20 4 — 13 5 21 11 — 4 4 i: 25 3 2I_.l 30 10 35 2 41 7 18 6! 9- 10 — 14 7 — 21 4' — 28 8' — 30 11 — 44 7! 60 B. d.t .- B. d.. ii JET t) 2 JXL 9 17 10 12 U 1 13 6 2 11 2 3 6 lli 4 7 6 5 13 2^ "iat=: Ji,,,Q 5 4 X 15 8 3 X 16 r-lQi X 20 3 6i )r 24 10 3 X 30 2 4i XV 32 4 2 X 36 1 6 X 40 6 2 X 42 8. d. 6 11 17 7 4= 6 9 == 17 3 4= 16 3 == 13 10 =j= 12 11 4= 21 5 =1=15 5 16 9 (.V) ■ } |L'^ lie mind, Adilitjon, Sab- I be fi^quently d. ' j£^ s. tl. 6 = 1 MEHTAT* !AiaiHMJS1IC • "Hfe ;.U ol»iv»0[ .:MuiI « € a -r 3 = 23 v^ >g (i| r^ Ui-4^iir£:' iA\4 (0 1^ ifl :^.h;>7.v=fcv,^vr2 *4 Ife '8- -7-.M.8-<:=.:4i'-i? (ft i3 4 -^ '9 i=s.; ^M2 *fe m *8" ^ :«I0 ^i=tll^ *8 {^ (fe ^ -h.i'l2/'= I»"f9 f>2^9:i:4 -s- 16 = 3 1 C;8i 5*i0--rifi^ =C« ^ f9^'400--^ Sl4 =«7 ^ ' 6/>12*>0 09 00 B 1 ?• 6 f> « 7 40 i ift2 16^ *40t'0^ -T- 5gg =± ^ i^ -i. ilO = ^'4 <^ ~- ee = -2 »» -r-«4 = 11) * fuiiI(;i..iG«iy«oi:ihe>j)>K;ei}£rl»i to find tbe prieeiof .iiny'Duraii^ of articles. .«_..!. :i.;i- ..; •:^..:■!i:.! ;'•»/ ; -'li >.'. t>:j{VJ , N^ie, This rule is very easy when the number of /irticfes duofB <^'.'iWiyiii«ftijy jiricei^T6'lb»^fe^f Ife^fj Mi4'V .VI • 76d. = 6s. 4d. the value at Id. per Ib;'''*"'^ "'*' '^"^ •){, .... i..., „,^« f,..;4 X .•••., * >.'v, r, £ ■. 103 yds. (3) 3s. An«. 10 6 224 ^« 4s. " 44 16 3^6 « 68. " 100 16 4S^ ■" Ss. ** 168 16 5*74 «« 10a. *« 287 -■IV-W f! Viv; 6D9 y^s. (S> 12s. 4)i«: 419' 8 734 " 14s. f^ BjStB 878 « 168. ^ to!!: 8 987 ^' . 188. ** 8^8 6 io32?^-'*;^'f":3Si.*?*^ iiw '4 ly. To •find ihe value of; <^ 4ozen articles, baitiiiff; ^ |iric« •oTone given. / Rule. For every penny in the price reckon one shilling. Note 1. For nny number of dozens, multiply the price of one dosen by the number of dozens. Jfdte 2. If the rate per dozen be itiven, to find ihe value of^^pne ^article; fur evpfy.shil ling in i be price per dozeii, reckon a '(^^linv 'for ^he value of orie article. Fr^r the v^Iue.of Several articles!^ muHh>ly jthe price of , one biy. the numbear. Note?. The value of any piinfibei' of -a/ticles, nn^ f xceei^ing ^^0, ^ay be very expeditioiialy cjUcMlat<>4 by ^he awxtance of jhia jfu^ Xhuii'4 auppOMe , l,he value of 1$3 ari|rle« \m reqi^iired,, at IjQd. eichi p9 have 12 docen !und.9 articjesf at 10«. per duien.' V 0^ '.( ^1 }im\$' le«f at 1U«. per 12 doz. (9 lOs. £6 <9 art lOd. Q 7 6 >; .Ul ikVjj Ik* .■p,n]ii^d»-tnm9Q['B i O ll£t5*T% ii-M) dr J\ Is 1 1 I I 2. 3 U i>'Ji'<<^ irt whieh the lotient wUl be .'.. £ ■*. ^ = }0 3 9 ±=13 ili = 16 Ml « == 19 la = 36 ft ]« = 31 '4 « = 39 <« ^ sa |0 == 78 ^ ilei,' iwhen^the price ;7tf<>uWe le fcst fiji^ff ifiin»:419' 8 ,. «* 513 16 !. " 70511 8 le shillinj^. le price of one hfl value of-^^e kbn a l^tiinirfor nicies^ muH)i»Iy ic<» of jhta rM^> >^ . »^ ■■ a^u M n ;.r .It 1 dos. lbs. „ . d. I « ^dox^jde^O 84. : a 1« 11 •f « lOd. r=£ 1 13a. = 3 J4d. = 3 W. = 4 16d.r=:5 18d..=: 7, la ID 10 1* 4 Iff a. ,9 9 f I 1 1 1 >/i .e>t aid. =^ 4|d. =;? 4 ;$ 3 5k = 5 9 4 e^d. = 6 3 5 7d. = 70 6 7id. = 76 7 lid. = 11 b 8 y. To finici the value of 30 articles, or a score. '.llutlB. J^ur, eyery ^liilUng in the price reckon 0iie pound Note 1 . If there be fid. in the price, add 1 Os. ; if 4d. add 6i. Sil \ ifi3d. ed4 5«.t and »o oq accQfdinfr to the aliquot part* of a2*^i^ ling. Fur ar»y niimber of scpref , .niuliiply tbti price of one icore tqr the number of scores. ■ . ' ivo/e 2« If the rate per score be given, to find the value of oed STticle ; for every pound, in the price per score, reckon a abilling for the value of one article^ £ I score (8> 3s. Od. ^~ 3 48. 6d.--^ 4 58. 4d.-^- 5 68.3d.-- 6, 128 Od.— 13 158.0d. — 30 Us»0a.--.33 ■ ■■■*-, VI. To find the value of 100 articles. ^ ' \RuLt. For every shilfing in the price reckon JC5 ; and for every ftirthing in the pence, or pence and farthings^ riBckon 28. Id. 100yds.O5a.0d. - 35 I 1 1 ■>4t 1 •'M 3 8 8. d. : ' . ,(£- •r.A- 48core fa> 7si 6d. each 30 10 5 " 148. Od. " 70 06 (> 8 1 « 17s. 4d. " 17 68 li 6 <« 16s. Od " 96 1 « 28. 3d. " 2 5 0: 3 " 2b. 6d. " 7 10 1 " 18a. Od. " 18 a 100 100 100 100 100 .11 l« l< "i II j6a^0d. -30 48.6d. - 22 7s.0d. - 35 88. Od..- 40 98.6d. - 47 10 10 .. , ..^ ' £'' *.- '. lOOyds.^ 10s.2}d. -.51 10 100 « ll8.3d. - 56 5 lUO " 28.3|d. - 11 U 8 160 " 128. lid. - 60 10 5 200 « l3a.7id. -136 5 300 " 14s. 6d. -317 10 TIL To find the value of 1 cwt. or 112 articles.- " RuLB. Multiply 98..4d. by the number of peiipf {n |h6 prieef for the anf wer. ; Note. Jf there he fartbinsi \fi f^e pHi?e; for 4 adf) Sf. 4d., fbf I add 48- ^d..^ and for t addTs. < for any numbjBr pf o|rtft> multiply the price f)fl,pw|vl^iUbei}iiipJbffp((cwts, ^. ,,; ^ I i IJ! i. m^ iii:r-r.M: i1 ' :, . m fi2«u ^* " m. = r 1 ii^m-ii^ mriismw. 12? ^^ ;;ij|d. = 4 5 c^t. m m 'per lb. 5 12 ^« sld; *" id 14 $ 'tt 6 4 13 ^ VIII. To find the value of 120, 240, 480, or aOft^articles, Rule. For 120 reckon a pound for every 2d. in the pripe ; for Wl 'MokttA ^*6ii' fllimjA|s, fdr'ii ^tJ. five shiHiii^, ffiid fbr a ^fjf.ire»lfan:^«i^ftd, .,.-.; ; - :, ^noh-i -^l"^ ■'•'' ■ -■■■'■■ -^ ^^"^^ , I For 340 reckon a pound fbr' evefy p^nhy In ihieT^rfe^; wU ^."reekon t(6n shilling^, and ftfr a id; fiVd shilling^. • For 480 reckon a pound for every i|d. in the pt'lc^, aha ^6r ^"'!lPo^ §w rdckoh 'a pound for ev6ry farthinjgjiivtt^i5jjn^^ ^%,7d. ^ach=3 JO. D, (i os. ^i^d., « ; 4 iS o;- . 40s. UfiJn ";;/ 17 6, g^ r^.Ss. 3id ' :« \07 1ft Oj ^4i^0:4s. 9id".^ ;;'^,57 15 Op £ 8. d- ^ l^V3d. €ach=30.,0. 9 jOa U. Vid;;,"., 39 .0 480(S)2fl. 3id;,*fn 55 JO 960® Gjs.9d.:;.^^,;;36,.0 960(5) lfl,7id* ;:"<., 77 ..0 9m (S) %9|d.^;,,'*;op5 ..o •X.iiTo^find «IIie iAtcre&t of any'supita t^f mon^ foir'a y^kr, at 5 per cent. • ^^.^i^^^^^ oOi lu ;,h{r;v orlJ I)na oT .17 Rule, .pivide the given sum by 20»for tlie answer in pounds* finikfyff !•• 'fl0rv;0ny)nttnr>be;r of -yeajTii^ multi^^^ the intiQiieati of ; one year by the number of years. .' i .;. .h N»tei^. If at the rate of 6 per ctnts find' the interest by the rule iiiAovi(";tatf^>bf intci^»t-be 8(4 i^vc^nt.'tlediiMst | bt^ itdelf;'tf af'^jl aed*4t-A.- I'f*:«2 •' (Kir I Oi U'j: - bH.sfci' »• 00. 1 't;^ ll^WS'yfc 9^i4r c^t. Jfeyi'y^^r^^-^'^S^: 0^; , ^^' *^ ^^l ^^^34 & *i ^ .?? ''^*^.!. «^ ±= 3l^H " ^* C^- • V W ** 1 %v «^ • ■ w » • • » ■— ■ ,JW , . w - iQO f'fl tol ..hb i^4(j.i^ 5'i»er'*'6^flt.'^iyr'2 f^Sr^ i=l 254''^^'Cf .6 f^'f" , 4696 (a> 5 .;^.^^''m'^mfe ^ ^Sf^^ 3*^ ^ o^-*^ i »ii- 1.%=^! m- >er lb. 5 12 «• 6 6 ^qt Q^ ^be unit f^ure,— this giv^s the Api^w«ni(^|§bimfi|;8,^d tfQ^a.of aahilling. -.Jti^ umou 8rtc»riH.iuiKm»b mtim Jk ; iivo • '^Kait ia the interest of i^50, UftK iBontha, at 6 per eent? ;e50 35.0=X1 15s. ans. what is the interest;. of £125, for 5 m(>nths, at 6 per cent.? . '■-- ' £125 ' ' 5' '■ r-.»- 62;5=je3 Ss. 6d. ins. What^a th4\mi6l^(iBibf£^ ft>r 9 ^nonths, ai'^ t>eif cehtil^ , I Ji..: 1 < . ; ( . 72.0=ie3 18*. -:"/• What is t^e intereat of JE;137, for 8 n^onthpr At 1^ per cent. 7 i:i37 iifi 5>v>u«> r>f IT ^wi^Je'ttifi t^ii .«',l.'l«i*:fi=r#i3iri^^»'» -ill aobii >.! J:ia ii(V> -•> I Bxamples may be given at pleasure; J^ofe 1. The y^lue of any number of articles mfii,^^Q.i|neti^ very easiiy foiiliid by dividing^ tlje price 'into two ^ qf; rnvr,e, pairJa, Thus.; :if the Value iof 63 lb. of sugar, nt T^a.^er lb//l;e'req^ have 63 8ixp^iices=;=:31s. 0d., and 634'==PS. 3c[. : cohj^eqAientJaf^W Note a. When neither thn number nor the price is large, the valuf .Riay sometimes, be readily fouod by multiplying ^he uu^^ier by the jprice and dividing the number by ^2. ,r . >< '/ i^te 3. The required values may be 89n>eti,nii^8 found !byQjtdfcu«< laiing i^e given numbers at more or less than the,gi;ve;n .pyiceerund then adding or subtracting such sums as from thf^ nature of jibe questions will prpduce the answers. Thus; 50 at l£d,=100J,— 12Jd. =78. 3i|d. — 72 at 13s. 4^d. = £72— £34==i"4i; ^pd 9C»f^ 223.6d.=je96+i2==£ia3. \ , \ ; o '/ ' I wx niJjf 1 i "»' lit A. .dAiV'iU iitum I'ArPEN'BfX' no. illi '¥" " A .X «MSM^k/«^t^^^V^N^^f^^^^^rfV FEDERAL MONBV. ^' In the Urtited States, or federal money, dollar |i the irionHr unit; all oilier denominations being valued aiccordinf; toi tbi^ir ■iiiiatjon from the dollar!* plHce : hencet timple and eumpdtmd ftddiUon/ sahtraction, muUiplicationi and diviflioo of iedoitt monej, are the same. Addition. 13456 <4Q14a 22!J85 •l« 4, 76684 Subtraction. 163087 86503 76584 Multiplication. 9573 7^584 Division. 4)306336 76584i The above operations are called simple, but in federal inbnej they are also compound, and the result may be rea^,— - 7 eagles, 6 doliurs, 5 dimes, 8 cents, 4 inills ;, or' 76 dollars, p8;4 cents ; for the mi^.^c^ig fkfi ii^ag^pjEiv;^ piece* is j^opeHy a decinial tif a cent. But besides the federal money, there arc ih every State ano> ther kind, consisting of pounds, shillings and pence currency. Formerly the pound was of the same sterling value in all the eolbnief as in Or^at £lrit»inj an4 a Spanish dolTar. worth 4s. 6d.^ lUjk the -tegistatures. of tliodi^erent colonics emitted bills of ^Vedit, which arterwards depreciated in their value, in some States more» in others less, ^c. *- Thus a dollar is reckoned in New England, Vitginia, Kentucky and Tennessee... 6fc New York and Norfli Carolina •..f..-.' 6s. / ' New Jersey , Pennsylvania, Delaware ahd Ma'^yland 7* ^d:. South CaroKria and Georgia ,.. 4s.8d. Canada, Nx>va Scotia, &,c. Ss, Hence, to reduce the. currency of the several States to fede- ral iiioricy ; say, As the Current value of the.dollar in any State : is to 1 dollar : : so is the given currency : to its equiva- lent federal money. And vice versa. Reduce j£73 New Englrind and VirjOfinia currency to federal money. As 6s. : 1 dol. : : £13 : $243 .33^ cents. Reduce $639 into New York or North Carolina currency.^ As $1 : 8s. : : $629 : £251 12s. ans. Reduce JC125 Canada or Nova Scotia currency to federal money. As 5s. : $1 : : jC125 : $500 ans. « Reduce $741 into Canada and Halifax currency. As $1 : 5s. : : $741 : i;i85 5s ans. r is the fiioiiMr irdins; to thi^ir and eomptmmd ioa of iedoi«l Division. , 4)306336 fctderal roon^j ia4,— - , ="• . '^ laglnavj' piece» rerjF State aiiio- ice currency. iraluQ in all the •j worth 4s.. 64. J^ imUted bills of raluei in some ssee... 6s. I • • • • « • '7land 7s. 6d:. ,.. 4s.8d. SSr States to fede- , dollar in any : to its equiva- cncy to federal ollna curreney.^ ency to federal currency. As Table ot "iflwk c'ifiMtt^r ie^ih^|»4^dlittgr H^twrnmOiMmm ■' ' J"i^< * ■'»■■» ■ ■>■■ '■ ,~4~->— r-«.fl ■ I 1) > • >i.i.;.. .pi * •f ■ rr ■• ■ ' ■ . 1,1 ■ ^,,o o.pQQeoooooeoooooooeoo^O #:w»nie o: «> CD 09 eo -4 <^ s> o> ut «r 1^ i«ik.c» coWlct^ Ml o P> .•.|«H .MH^.j^, lO** M^ . M»> MH MH ' ^t4H MIf> MH ■g? , , H-' NA »i^ H* >- i-« ^-^ H^ ^iA.M p O PO.OQOQQOOOOO »< , . T- , ■ OB » ^ iCi» t>ii WH* • : tt4'Tf «iwfi«ism^«;i|ii», (i4it^««biiw«^ tni.»^ o e CO CO e» «o ^ i^ C9 cs ^o io •-« w e P- '. t LLi J. ,..,.■ <■■ i . . ' . - . BO ,^- lo »t^ O o •-•ocoooeo«qoc;ii(:krf^OOf9*-'OOi-*o coo»ep,0, »l|UW<«0i(i0en|Ubil4k (ni>-bi|tOCn|W;«;n|i.d(n|W;i<|.;» 0U * in, lf.,L CO tfft ^ i» id tQ O tQ iS^9)3k9t9i9l9i9l3t9tQIQtStOi9)e ^ * 5^ ■ • t ^^A ^^ ^mA ^^ ' t ©•^,*-*, ©©C0C0CeC0-J*^050SU^«'*ktf».C00!>>QW)'-»i-iO O, NH 'MHNHMHCiSHtS*->HHNHM»'»9Ht8H MH • ' ' . I ■ ' I ' i ■ ~ — ,,,;.. I 'i'; I- ■■' ■ ' ' I — — ' ' ' 7^: — i(^ i(^ i(k. rf:^ 4)1, ,^. ,;^ i(^.,^ »(^i^4a>*^CdC;9&9CA09CAC9CACSCAU>^ © 00 03 M Oi V .^ >^ 09 to M O O >^ S © CO 00 -4 © CJt 4X t^ QB O *» ' - ■ ' . ' I ' , -> ■ ■ . ■ ■ ■ I I ' ' : ' ' ■ ' N^ IM Mrt t.^ O' U*^ "-» O O CO © CO CO u . a,.^^ k.^^ ^m^^ m.m^^ i,M^ - -^ - >' tan NH NH tSH MH NT' lOH tOHtSH.^ :t^ © © ^ 09 OX © o: en en cji ut'c;* en en ux- en 0« tn en b« en e;^ i^ 41^ ^ i(ht^CS)QHtOO»Oe£!00©M©e'!>»^i(*'0Sl9^©©>-*© o CiiiA b^Cn|ia;^u-J<|'«'' ' 'te|.c.«njv:ai|4k Cn|M(n|MiJi|wXnj4k C«m->tn|fc>^ti4k»t !■ ■ I . I H I I ■ 1 ■ U ' . I • 1 ■ ■ ■ ' I . ' ■ 1 i I ' I ' f i I . 11 ' ■ — »- , Vt tt^ it^ tti, ^ 4)^ ^ it^ ^ ttk |it»> |(^ ({is J^ it^ 4^ 1^ .{^ )^ t^,4*|j>»;|^ ^^O «•)* '£*.Ht >~t . ' , * ■ ©H*^-'OpCO©Cooo;:^>t^C9C9)'9rl9HiH>© ^ ■ 68H • IBH ; «H MH MH MH MH MH ,MH , *♦* MH MH • H»H«-. t-iH* *-^ Q *H © .©,,»' © -j|; © en ,^rfkCat9»-*©©H» o©coco. tnti-d«.,Ci'Cn|«.^UVi|,(k Cn|MJi|>ii n ': I ! ur ■'< i* ? ' ■ if; ■k I :'■] 1. What it the •siwal 4M*1ki^!:MMaiaOO doUari 7 eoniir: Oa doHart 75 aenti, ^I^M^amM nwiy, ami A AdlM JflMlilr:: i» iln«. 698 dollari 01 cents. %% % i^r^er paid %l%ii a tor'a^orse, 95^^4'c^' fftirydKa (^ osMi. ^1 for » oo Wf $7 41 et. ior- Uutm Amm Ui:Xakf eactiTfor Iwo pigs/ And $64 for a Wagj^on : liowTmuoll haiiM paid in all? ^ii». $224 86 eta. >:3^^ Frmm$31fi 68 ettTanbtraet $T46'8-otr -■' ^ -^ - *- ^4^^»^i^i t4ir d'^ctf^^ |75 i""ot; ^ ^^^?#lr^.2fc ?T. Wliat coat 35 lb. oiieeae, at ^ eenti per lb. ? O -. .. -, -, -M -. - .. t^ .. -.>t3*^^JB0^fiPyfe^ 'e.*" What is the value of 29 pair of ahoes, at 1 doy[ar ol <^ntt pcrt)«ir1< ■ :i c^o , ^nt. i^4d-?9^«eBtil o. 4!^ What cost 131 yards Irish linen, at 38 cents per yard! HB.^ Whdtcost 140 reams paper, at 2 doUara.a5 cents per ^^r r. , ,- .. . M ,, ... „. ., ... . , . .. J^n9,m^t:^ •;|0r What cost 04 bushels of oats, at 33 eents^per bushfill -:: rt :4i»* 831.3 c«bM^' V l^x What is the yaluo of 75 yards satin, at 3 dollars 75 cepts j^^s^dr/' ;' .. • :V ^ X •■ .^.^:3,:; ::4n*^:,$291«^pcn^ -) It. What cost 367 acres <^ lani^, at 1 4 dollars 67 cents pet l^e-? '^ 4ns.^5383 89 cents. > ^'l$ 3,WJ»»:t will 857 l?j|rtellLi^rk Qppie to, at 18 doUsr^4«>4 ^3 <9>nt8 p)Err barrel ? ^>4w*4-'^ -.. 4^*. $16^3 1 cent. ' "^13.— IJbufflit 25 lbs. of coiSfee for 5 dollars: what is that ^%;f'^^ . ^ ^r • 4n». 20t:ehts.^ Ol4; %i ,131 yards of X«sh Unen cost 49 dollars 76 4:enltt4 whal^ IS iHat pei" yard ? An8. 38 cents.' j^5w .Jf A 9Wlr 9^ jugar post; 8 4aUars 96 cepts ; Jbftw n?4^iQl| '}§ that -per lb.? 4ns. 8 cents. ^16. If areoltoning of2SidaIIars 50 cents be paid^equ^ybj^. 15 persons: what do they pay a piece? 4ns. $1 79 e«!ili«£ ) : ^^ lif aman's wages are237iloUars 85 cents a year's hc^ much is that per day r 4n». 65c«afls.r„ '' IjK The salary of the President of the United States is S25^00 a |ear : what is that per day 7 47is. $68 49 ^ cts. ' ik What is tHe Interest of $73 65 cehU for a year, at i^ jjir^nt? , 4its. |441^c©Bt||,^ art 7 eentar : 01 cents. ludn' hal^iM 34 86 ctf. 169 (^1 1 1 Sofc^irt k^ 1,^ v-< »"< I per yatdx K78rj5«ipWl> V 35 cent! pec l«5Li^5fe 67 cento pet 3 39 cento. - 8dQUnr|i4ii^ 223 Icent.?^ what is that r. 20«eht8.^^ ars 7B«enitt:t 38 cento.' ^w n?«Ql) i§ ns. 8 cents. la j^eap^ lid# 8. 65cs»to*^ ted Slates fa 8 49?§cto. It a year, at ^ 4lAccnt|h ' JO. Xeqmrad tlM interesi of $85 4ft eenls, for a Ttar, •! 7 ytretnt? il««. ift98^,csDts. ail. Wbst is tbe interest of §789, for 9 f ears, IH 6 per eoatf M§. $94 68eenik 9S. What is the interest of |(o7 50 cOnts, for 4 voari, at C pareent. per annum t JLas, 09* , S3. If an agent fell goods to tho amount of 5000 dollarijlj what will his commiision come to at 65 eento/ p( 130 : $1 : 1 150 : $1 .25. $1 .35)$37.50(30 bush. Ana. i 37. A. and B. venturing equal sums of money, clear b]K trade $154 ; by agreement, A. was to have 8 per cent. becaO'sfl ()0 ipent his time in tho trade, and B. Was only to have 5 1 what Was A. alluwed for his trouble 7 . | 13 : $154 : : 3 : $35.53|}.J Af^ '^ Calculations of all kinds in federal money being sO siflbp] and easy, are parlicularly well adapted to mental ariihmatie e; g; loo articles at .any nij;libcr of cents a piece, come io sa^ jiuml^er or dollars. -4 ji 100 lb* at 7 cents per |b. =5 7 dollars. ' ? ^- 100 lb."at46 cents per lb. =f 16 ^lollars. . - 100 ydif. at 35 cents per 3rd. = 35 dollars. I 100 yds; at 38 cents p^ yd. =» 38 dollars. of ooiirse the number 50 comes ' to- ^ th4» nuVnbcr of dolla thai Uiere are cents in the price, — ^25 to i the nomber,^ to^ j^ I >.r f a ■^saFs.-- 1F*W^ Ms Enrdiiil ob lU ^eedinf table, to rtduct tilt 4i9mi^ •iineatiit of t^t Mf eral Rutet into Mob otbtr, al par. 1. Rediice £84 10i.,6d. N«w Htmpibirt, Jbe^ eqntntSFr into N^ir Jsnty ourrenctj. iAii#- ;^1^ 19$. 4d. d. Redtioe X190 8f. 3d. Conntoiiotit ourrentjr, mio N«w York enrrenejr. iln«. jCldO lit. 3. Htdiiee X190 lOi. MaMaoIioietti correney, into Sontli Carolina and Georgia currency. Ant, £99 14i. S^d. 4. Reduce X410 18a. lid. Rhode Island currency, into Ctntda and Nova Scotia currency. Ant, £$42 9a. 1^ 5. Reduce :6524 8a. 4d. Virginity di^o.* enrvency, into Ster- ling money. Ant, j6393 6a. 3d. 6. Reduce ;pl35 lOa. 4d. New York, Ate, currency, into South Carolina currency. Ant. £73 4b. 4|d. 7. Roduee i!914 98. 2d. Now Jersey, ^c, currency, into New Ha«npihire, Massachuaetti, &c., currency. Ant. £IU Ila. 4d. 8. Reduewn ^ » OS OA i:^ Bfilarii«hillm( %•. I » <^ ni i<'^/i'.v4j irUith Shcpeiice ,......:..... e f T|S^* United Stales I^Hjirlfl 2 10 United Stntcs'and Mexican Dollar. 5 1 Hair Dollars of the above 3 6^ Quarter do. do. « 1 3 Eighth do. do b 7i Sixpence do. do. 3| French Five Franc Piece 4 8 1 1 i ! .I,/! A Table sTiowiri^ the interest of any sum of money, from £1 to XIOOO, for any number of inonlhs, at 6 per cent. SUM. 1 noonth. 2 months. 3 months. 6 months. 1 year. £ «. d. £ «. fl. £ n. d. £ n. d. £ il d. XI I 2i 3^ 7 1 2i 2 2i 4| 7 1 2i 2 4| 3 3i 7 10| 1 9^ 3 7 4 4| 9i 1 2i 2 4| 4 9h 5 6 1 6 30 6 6 7 Q 2^ 1 9i 3 7 7 2i 7 8i 41 2 1 4 24 8 4| 8 9i 7 2 4f 4 9i 9 7 9 10| n 2 8i 5 4| 10 9i 10 1 2 3 6 12 20 2 4 6 12 1 4 30 3 6 9 18 1 16 40 .0 4 8 12 1 4 2 8 50 5 10 15 1 10 3 " eo 6 0, 12 18 1 16 3 12 70 7 6 14 1 1 2 2 4 4 80 8 16 1 4 2 8 4 16 90 9 18 1 7 2 14 5 » 100 10 O 1. 1 10 3 Q 6 .0 260 I 2 3 6 12 Q 300 1 10 3 4 10 9 18 400 2 4 6 12 24 50d 5 W 5 e 7 10 16 e 30 a^^ 60 6 HlOOO S 10 15 30 O' Lull *' - ■- --■•■' ■ ,, i ' _ , } t'' V , . -•• k <«.r-«f*Y -*vj* a. * - ' «,' t ..'1 ,wv i- i 'j f % *■*''** Jr«^'«-> % < f ¥*% \* « ''•:■ ili-ijl^ t 1 «i 3 n H 4 8 id 5 1 TA«t>«' Df EXeiMllOS. ncy» from i*l ;r cent. 1 year. » 6 .0 12 Q 18 24 60 d TABLE OF EXCHANGB between England and Canada. ,g The irate of Exch»iige ja alv^ays above par ih U^ntf ot Brjltaio. Par is jC90 sterling for XlOO Canadti currency. Per cent., above Pur. 1 per cent. 2 per cent. 8 per cent. 4 per cent. 5 per cent. 5J per cent. 6 percent. 6j^ per cent. 7 per cent. 7 J per cent. 8 per cent. 8i per cent. 8§ per cent. ^1 per cei>t. 9 per cent. 91 per ci nt. ni per cent. 9^ per cent. lO per cent. l()| prr cent. lOJ per cent. 102 per cent. It percent. Ill per cent. IJ§ per cent. 113 per cent. "1 per cent. I2i per cent. IJ percent. 2| p-'r cent. 13 per cent. 31 per cent. 3J per cent. 3| per cent. 14 percent. Value of £1 Rierlias Id Canada cumiio J. VmZ or 3£ ^^'3 1*1333 or £2 8 M444 or 22 10^*6 M5i>5 or 23 14*3 M6G6 or 23 4 1-1722 or 23 5|*3 1-1777 or 23 6^-8 1-1833 or 2^ 8 1-1888 or 23 di'§ M944 or 23^ 104-6 1-2000 or 24 1-2027 or 2i OJ-6 1-2055 or 24 li-3 1 -2083 or 24 2 1-2111 or 24 2J'6 1-2188 or 24 3|-3 1-2166 or 24 4 1-2194 or 24 4 J '6 1-2222 or 24 5^-3 1-2250 or 24 6 1-2277 or 24 6J-6 1 ii305 or 24 7^-3 1-2333 or 24 8 1-2361 or 24 SJ 8 1-2388 or 24 9|-3 1-2416 or 24 10 1-2444 or 24 10 J -6 1-2472 o 24 ll|-3 1-2500 or 25 1-2527 or 25 0|-« 1-2555 or .25 l|-3 1-2553 or 25 i\ 1-2611 or 25 2j'0 1-2638 or 25 Sj-S 1-2666 or 25 4 All decimals end in reptateri. rp''»"""ww«i«!pii mmmm I 'M J ! : vii* to TBI voB tcwoiiy mtiiC. •• ./T r-r^aiiiply iHe Tafii^ 6f Xl sterlini^, lit tte ifiVen r«(«, ^jr tba giT^n tarn. Iite pfir 7 Anw. £91 lOa. 2d. j^ '''% lleceited J6l80 currency frbm Liverpool: what le tbe Taitteiii sterling money, at 8| above par? ^n«. Jei48 198.3id.|$ d* A tnerchant in London owes mo jCdSO currency i how much iterling will pay the bill of exchange, ut lOji per cent, above par? Ans. £265 la. 4kd. ^ 4. I ha've to remit to a friend in Glasgow JC245 currency: ilow mwE^ «ti^ing will be reeeiire, at 8^ per cent. ? Ans. £203 138. 10|d.j^ If. To find h6w much C. currency in any suiti of sterliijig mof^ey }— multiply the value of £i currency, at tlie given rate, by the given «vim. How i 19 10 lOi per ^eiit L9B.2d.if1^ ; what 10 tb6 198.3icl.|} urrenoyi how , lOJi per cent. Is. 4i«i. ^\ 345 currency: B. IO|d. i^ irh of Bterlirtg^ 16 giTen nite, 9i per cent. 4 H'B 8 14 3^-6 10 r 5 3i-6sliB. xbhanfi^e »l 9| 14i. 5id.^3 n«^ #i)l l^jr 1 9 ^ Ha. -^ ATPB?ri)lX No. IT. ^^^^^^^%^/^^^^^^^K^^ FORMS OF RECEIPTS, BILLS, 4tti. A Receipt is a writteti aeknowledgtnent of having rM«tf^^^ Ai^a of money. In general, on settling a^ aceocAtD nothing mor^Mi anc fi sary than writing below it, 1846, Feb. 1. Settled the above, or ~ IQy Cash in fall. 1846, Mar. 10^ By Cash in ^rt, or Received in part 1846, April 17.. By promissory note, at 1 moirtb, in full, or in part. By aoceptance at 9 months, do. (with signature:) "Oalt, 13th March, 4846.— Received from John Black, Kfq.* twenty pounds ten shillings, in part, payment of his accounts JB20 IDs. flOBBRT WiuKiii, Dundas, 4th December, 1846.— rRecelved from Mr. Jaitiell Stewart, thirty pounds eight shillings, in full of his account to this date. Williah Douglai. Toronto, 14th January, 4846.— Received of James Greatman^ Esq., seventy-fiVe pounds, in part of a bill oi one hundred pounds.. jC75. AOam SoiitiRViLtto. Hamilton, Received, t7th April, 1846, of Mr. Robert Walton, one hundred pounds, for self and company, f >: ^^' , > £100. JAiin AinttiufABi. ■ ■ ^ ■ Received from Mr. Henry Mortimer, Junior, fifty poutida, which I promise to repay on demand. ^U, Ist January, 1846* S^astid Morguw. "Quebec, 15th September, ^846.^r-Receifed Ironi Mr. 6epf|HP Tumbult, si« pounds, for half a year's intereait of twff hrni^iwd IK»ii<^clf • l^iii 9n 4K>n4 t» ^e tr^atgopof AHltioQ Chapel c|^f ^ 4«tj5«U(it , ■ w«--- --^^^ ■■''■■ !:■ - i: ! I )ii .r BIKU. • Toronto, 4th June, 1846.— Seeeived IVom Mr. Jamet Boor- tend, twent;^-two jionndu ten |;tiil|inpfB^ .b(!in|r,.balf a year** rent «ir tfie house and gardebi rentcci t)y bim from me, due at Whit ftonday last. X23 lOs. ,Ai«B;^AffQMi Laird. ^ jj|<«itrea|, 19tli April, 184j5. — Rcceiyed of Messrs. Jai^eson and Christie, assi^ners of the effects of Thomaa IVf.ercer, a bankrupt, thirty pounds ; beingr my proportion of the said bapk- ltii)t'a eft'pcts, and iir after the rate of te(i shillings per pound, for my debt of sixty poimds, proved und^r the said cbnrtnltission. £30. David LiNENDRAPsa. BILLS. t. A Bill is a document prrwiding for the payment of » eortain sum of m'oney, at a {specified time. . 9. A Promiasory Note is a biU expressed in the forpn of a promise from one person to pay to another. /3. , \ Draft is a bill expressed in Iho form of nn order, signed by one person, and addressed to another ; requiring the latter to pay the specified sum to the former, or to some third person. 4. The person who sipns the (Iraft is railed the Dffftocr; the person to whom ij, is addressed is called llio Draioeej ^rid the person to wliOm the payment is to be made is called the Puyee. , 5. The Drawee binds himself to pay the bili by ^writing bis name within it ; after which he is cnlled the Accepter. 6. The b H is sa«(l to be drawn hy the Drawer; drawn upon the Drawee or Accepter ; and drawn iit fart' ur of the Payee. jj7, > A person vfho transfers his right of receiving payment of a bill to another, or who becomes seouriiy for its payment, writes his name on the hack of it: he is then said to endorse the bill, and he is railed the Endorser. 8. When the B^dorser, besides writing hi& Own namei (specifies the person to whom be transfers his right, the bill it said to be specially' endorsed : when he writes his owii name oi>ly» the endorsement is called i&ZffwAr or g"cwerflf/. , 9. The term of a bill is the space of tf me at the end of which it is to be paid. 10. The- term* of a bill is sometimes a specified time tatice. ^ r IL Bills to bo paid in the same cbiintry in which, they idfe Atkwti; are tet^i1edltilrfti<»«ill8:a>id bills to be^iii^ in a difTe* rent country from that in. which they are drawDf are ca|ted /orei^ffi tills. VBOmsftORlF'liO^SBt in Jameg 8eot- a year's rent . due at WhH [)BR Laird. isrs. Jameson us IVfe^cer, a he said bapk- gs pcr'|fuuii"i ] cdminission. NENDRAPER. saymcnt of » the forpi of a 1 order, gigned ff the latter to I ird person. ihc Drawer i Drawee J and' B is called the by writing his pter. ; drawn upon f t he Payee, iiig payment its payment, aid to endorse own name, jQrht, tho bill ift is owii name at the end of ied i\me after specified time hich. they are bi^ in^a iiifTer rn, are ca|bd 19. The DrRW9r of a i^raijpii bill flrcnerally makee out •everal cnpiesof It;, whieh tnnther are called a Ml of Exek^t^ft^ and ruirits theni 'by difT^breht ships or posts, to guard amliiil loss or misoaniagr. In this case, acceptance atid payflMn| of each of the sets are required only on nondiiion thiit the Otltenr bayOnnot been accepted or p>tid ; and a clause to tlii»eflMi>ia always inserted in such bills ^ therefore, wben one bill oCtba set is accepted, the duplicates are of no further use. 13. When a bill is not paiti for at the proper time, the Holder of it puts it into the hands of a Notary, Who demands payment from the Prawoc ; in default of whidt, he »Ti;ns a dooumeot called a Protest, which facilitates the recovery n| the aniounl of the bill. In Cf^rtain cases, a bill may be protested ffir non- acceptance. 14. A bill which a person has to receive the amount, is called, to that person, a Bill Receimble ; and one of which a pe^eon has to pay the amount, is called tu him a BUI Payablf» ' PROMISSORY l^OTES. £45.0 IBs. Dundas, 9th April, 1846. Six months after date, we promise to pay to Janies Cun- ningham, or order, the sum of four hundred aod fifty podndSj eigbtecu shillings, Halifax currency, value rocei^'edl John WHscn ^ Co. ^10 28. 6d. Kingston, 10th November, 1346. - .Four months after date,. I promise to pay to Messrs. Rotiertsoh & Co.^ at the Comrnerciui Rink here, the sum of three hundred and ten pounds two shillings and sixpcucey Halifax currency, value received. James Thomson. i?lOO. Gait, March 16, 1846. Three months after date, we jointly and severally promise to'^pay to James Clerk, merchant, iVIontreal, at the Goro fiank, Hamilton, the sum Of one hundred pounds, Halifax curreneyi value received. James Blair t Charles Scott. ... .V . • ' . £2QQ. t Toronto, 15lhilanuj|ry, 1846. I promise to pay to Mr. Isaac Trotter, two hundred pounds, in manner following, v:z., fifty pounds three months after date, fifty pounds at six months, and the remaining, hundred pounds at twelve months, for value received. Peter Juslte^ I I ! tw TOaXlOm UMiU 99 SXCXAMOX. INLAN0 BILLS. |liSO. lIftiiHkdn» Janoary 0, I84C. ^ TKree months after date, paj to my order» one hundred and fifty foanda, Ilalifaz ounrenoyi for Talue received. To Mir. Wm. Ne§bit, ^ John John»tiine. Merehant, Brantford. $ accepted, William NeMh £$7 16s. ' Montreal, 6th March, 1846. Sisly days after date« l^ay to Mr. George Benton, or order, fiHywge? en pounds sixteen shillings, for Talue received. To Adam Kerr, JBaq ) Robert Smit^. Kingston. \ accepted, Adam Kerr^ payable at Commercial Bank, here. FOREIGN BILLS OF EXCHANGE. 1350 goil. London, Srd October, 1646. At usance and half usance, pay this our first of exchange, second and third not paid, to E. Van Buren, or order, twelve hundred and fifty eruilders, value received, and place the Same to our account, as per advice irom To E. Buaknellf ) ^ Rot, Davit, ^ JontA. Amsterdam. \ E. Buahnell, £700 litres at 29d. Paris, 21st May, 1846. At forty days after date, pay to John Bosanquet, or order, cSgfit tlK>osand seven hundred livres, excharige ^d. per ecu, value received, as per advice, from To James Goldsworthy, Esq. } ,Philip Le Roux, 'London. James Goldsworthy. je450 ster. ' New York, lat January, 1846. Sixty-five days after sight, pay this my first of exchange, (second and third not paid,) to the order of John Thompson, James Brown &. Co., four hundred and fifty pounds ateililkg, value received, as advised by Jonathan Wallaes^ Messrs. S^ithson ^ Sons, } seen February 24, 1846. . Livei^l. i Smithson ^ Sinti* : <^ri'A^/^fii^;i-:, i^ L> ly a. I84C one hundred Ted. John9lene, [Mch. 1846. nton, or order, e'nred. ibert Smiih. err^ payable at ank, here. jrEi. ctobcr, 1846. It of exchans^e, jr order, twelve plaee the Same nell. It May, 1846. nquet, or order, re 29d. per ecu, Le Roux, Gold8W9rthy. anuary, 1846. rst of exchange, obn Thomp«>»» tounda ateiliDtSi than Wallae€. ry 24, 1846. mithwn 4" ^*^' ■pi^rf) 'i-^ APPENDIX No. V. I MENSURATION. ' • A few more useful thinga in Meaturlng. A Assure of $ sides is eafYed a triangle : When alt the 9 itdes «re equal in length, it is called an equilateral trian^tle ; Krheil d of its sides are equal, it is called an ieoscelea triangle ; when aU its sides afre unequal^ a etalene triangle. Triangles are als^ denominated fight angled (as that In page 142) and oHiqnit angled trianglee. Tojindthe area of a triangle, of any form or siae. Rule I. Multiply the base by the perpdndicular height, sod half the product wiM be the content or area. R^lM ll. When the 3 Sides only are given. From ^ the Sum of the 3 sides subtract each side separately ; multiply the half suni and the three remainders continually together | and the square root of the product will be the area. 1. How many square yards are in a triangle, Whose base is 40, and perpendicular height 30 feet ? Ans. 66§ sq. yds. 3. Required the content of a triang;le, whose baSe is 18 teet 4 inches^ and height 11 feet 10 inches. Am. I08ft Sin. 8 ptm 3. What is the area of a triangular field, whose base is 6 .dS chains, and height 5.20 chains? Ana. 1 a. 2 r. 20 per. 4. How many square yards are in a triangle, whose three Sides are 13, 14, 15, feet? Ana. 9| sq. yds. 5. Required the area of a trianguh^r field, Whose base \» 4t ehains, and its perpendicular height 15 chains. Ana. 30 a. 6. How many acres are in a triangular field, whose 3 ndes are 380, 420, 760 yards? Ana. 9 a. 3 r.. 6.8 per. A figure of 4 sides is called a quadrangle or quadrilateral When all its sides are equal, and all its angles right angles, it is called a aquare: when all its angles arc right ones, but its length greater than its breadth, it is called a parallelograms when all its sides are equal, but its angles oblique, it iS called a rhtmbut: an oblique angled parallelogram is called a rhomboid. To find the aria of all theie four-aided figurea : Multiply the leni^th hy the breadth. '7. Itow inaoj acres are in a square field, whose side is .18.25 chains If ,. ilns. 33 a. 1 n 9 per« tmm ^ ;|ij' ^i!' lu • ;i (' r-i fi4 MENSURATIOir. 8. What if the area of a parallelogram, whoM length it 19.S{5 chaina, and hreadUi 8.59 olminl? : t\\t k; .' r/ t ' Ana, 10 a. 1 r. 26 per. 9. How many squnre ynrils or painting in a rhomboid, whose length is 12 It. 3 in. and breadth 5 ft. 4 in. ? ' An$, 7 yd. 2 ft. 4 in. 10. What is the area of a rhombus, whoso length is 6.20 bhains, and perpendicular height 5.45? -An*. 3 a. 1 r. 20.64 peiP. When a quadrilateral is irregular in its sides and angles, it la called a trapezium. A line joiiiifig 2 opposite angles or a trapezium is called a diagonal. To find, the area of a trapezium : Multiply the diagonal by the sum of the perpendiculars drawn to it from the opposite angles, and half the product will be the area. 11. .Required the area of a trapezium, the diagonal being 42 yards, and the pefpcndiculars fulliHg upon it from the 6pp9sito angles 16 and 16 yards. i4f}9. 714 yafds.. ,, 12. What is the area of a trapezium, whose diagonal is 17.56 chains, and the perpendiculars 8.82 and 7.73 chains? . Ans. 14 a. 2 r. 5 per, Tp find the area of an irregular figure of &, 6, 7, ^c;, sides. Draw diagonals diviciin^ the figure into trapeziums and trian- gleftb-> Tlien find the areas of alt these separately, and add tbeni together for the area or content of the whole figure. Exaknples may be given at pleasure. . When all the sides and all the angles of a 5, 6, 7, &'c., sided fi^gure are cqt^al, it is called a regular polygon. ^^«j ,^ To find the area of a regular pob/gon : Multiply the square of one of its sides by the number opposite its name in the following table. *^h:>' No. of Sides. Names. Multipliers. 5 Pentagon 1.7204774 6 Hexagon 2..'i.980762 7 llep'lasron 3.6.3.39126 8 Octagon 4.8284373 9 No n agon 6.1818240 10 Decagon 7.t^43p88 9.3656411 11 Undecngon "12 Dodecagon tl. 1961524 " ;■'>> vh <■« u f th^ •01 hoM length is 1. 1 r. 26 per. lomboidi whose vd. 3 ft. 4 in. length is 6.30 r. 20.64 per. 8 and anglefu it ite angles of a the diagonal by am the opposite agonal being. 42 om the 6pp9sito rjs. 714iK«r^8r- i agonal is 17.56 shaina? ^ 4 a. 2 r. 5 per. 6, 7, 4*«" **y*** siiima and trian- ralely, and add ole figure. 6, 7, &c., sided Itipfy the square tB name in the MSMfUlATlOir. 315 1^ WlMt is the are* of a Hezsgon whose side is 5 inehtsY An9, 64.951905 ^js. 14. What is the area of an Octagon whose side is 60 yards? An9. 3 a. 3 r. 14 per. 19 ydbk liers. • ^* )4774 310762 J9126 v' - ■ ^4373 -■■v> 18240 \ ■-;' «P88 ; f 564U '• -" 61524 " A CiacLB is a figure bounded by m curve line, called the firevmfertnee, which is every whcro equidistant from a point within, called tho centre. I'he radius of a circle is a straight Hue drawn from the centre to the circumference. The diameter is a r.ne drawn through the centre, to the circumference on both sides. To find the Diameter and Circumference of a Circle, the one from the other. Multiply the diameter by 3.1416 gives the circumference. Divide the circumference by 3.1416 gives tht diametei^. 15. What is the circumference of a circle whose diameter is20yarda7 iln«. 62.832 yards. 16. What is tho diameter of a circle whose circumference is 78.54 feet? ilns. 35 feet. To find the -nrea «/ a circle. Multiply the square of the diameter by . 7854 ;— or multiply the square of tho circumference by .07958. Hence, tl>e area being given, to find the diameter or circunifcFcnoe, is only to reverse the process. 17. Required the area of a circular orchard whose cirenm- ference is 56.5 rods nr poles. Ans. 1 a. 2 r. 14 per^ 18. What is the area of a circular pond whose diameter is 31 yards? il7?«. 754.7694 sq. yds; 19. I want a circular garden thnt shall occupy just half an acre : how many feet long will the stone wall to that encloses it? Ans. 523.15 feet^ 30. In the midst of a meadow well stored with grass, I took just an acre to telhcr my uss ; How long must the cord be, that, feeding all round, He mayuH graze less or mure than an acre of ground? '- ^/i9. 39. 23-f' yards. To find the square 2 1 . Required 'ttie supet-fibral' &rea^ of a* ^lobe •vHiOe is 12 inches. ^*,t, .. ArmS*, 45Q^.^90^4»aq..in. S3. How in'bii]^ fquaT*p! n)ile8*it>^6e WurlaAo'of theearth» sopposing It a sohere ' T > « Ans. 196,663,355.7504 sq. m. '""MVMPWII To M4 iUmniditt' kfa »phtr§ or ghhe. Uatit^j fte f ilbt «f thb dUiiAvUthj .5236. . ^ S9L> JSov oiMj cubic or ■olid inchei are in a ^M 13 indftei diameter t An9. 904.7d08 c in. 24. How many cubic or solid miles does- the earth contain, its mean diameter beinf 7912 miles 1 Aiif. S!59,833,411,782.86a8 c. m. To> find the convex eurfaee of a cylinder. Multiply tfaq cir- " larger 152, « 4 ans. " £3657 48. l^d. " ; 140, " 23 " 68.3 «* Fage 134, Questions 3-4-'&~6 are erroneoon. 3rd Question should he 102 : 90 : : £500 : £441 3s. C^d^ ana. 4th Question should be 90 : 102 : : £441 38. e^d^^ : £500 5th Question should be 99 : 90 : : £1000 : £909^ ana. 6th Question^should be 90 : 99 :i£909^ : £l00e'ata» hat. .21976. lowex;. £2657 4f.lid. 68.3 lUU^ ■fj nil ft*<>}^ «»*V»iyii ; vi rtw ■■ ■MiiiMi MolloM of tiie CaaadiMi Sdbool ^i.tla% tatesdadl m an •eoomiianiinent to Gouinlook** Geography. ''Canadun School Atlas —Tho nbovo !• th« titio of a book Coblithed fur the umi ufCnniiHiiiii S«'hom«*ly h»w m'e at which it is diKpo4«d of, warrants lbs iiope that it may n** rdily romn into |E»-nerul u#e in tlie whole of K\^ British Colonies/*— Literary Garland, '*The woik ifi got up in an ex<'e«dingly neat style, and reflects much credit U)t««nth**~pnblidh»>rii. \Vt* det, hotiiid io cloih, wirh ten Maps. We believe it \* the only woi4( 'of IIih kind in Cnnxdn, which, combined with the neatness of its execuiion and the iowneSs of the price, cannot fall to. make it a d<'«>iiHlile work to put into the bands of yiiVA\i"'-—NHino^t Quebec Gazette* **It is witli the grearest pleasure »hat CAri«d in Canada." \ to tho pnblish«r«* h ten Maps. We II, wliich, combined »wnei»« of the price, into ttie bairat of I pdblfc attention to grt*(> credit u bin, not Tlie Maps, ten in rge scale, and the America, whilst its es^ book of the kind are able to judge, d to the public in a igment and taste of an evidence of an in the Canodat, in of the value of the vhere to little, com* \rHliMi GumHiiQiii*